On the general difference between genders in martial arts training
In the documentary 'Be strong, Be Gentle, Be Beautiful', Keiko Fukuda - first woman ever to be awarded the 10th dan in Judo - theorised about women often being better Judoka technically speaking.
She argues that this was not because of their gender as such, but because they tend to simply not have the strength to power through against a partner - a common practice among beginners - and therefore have to learn efficiency early in their career.
This is probably a lesson she learned from one of her early teachers, Mifune, who was, as she herself points out, small and with a weak physique even for Japanese men and yet had such a good feeling, timing, speed, and precision that he could not be beaten in competition even by much bigger opponents.
The only anatomical difference she mentions is that female muscles were longer and made for more graceful and speedy motions, which I consider to be inherited bias as this does not fit with any anatomical knowledge from certifications and seminars.
Thus, I'd argue that female practitioners (on average!) might not have an inherent advantage in any dimension of martial arts but rather are forced to train to be faster, and more precise, and with better timing, than male partictioners (again, on average) if they want to properly execute a technique against resistance. This effect is multiplied when training in mixed groups with direct comparability. This way, their initial disadvantage becomes an advantage as they do not focus on the mere outcome or outer form of techniques, but train the ways and principles to reach their goal, which in the long run leads to a better technical development.
As Steve writes in his answer, though, nothing prevents male practitioners (small or big) from having the same focus and development. And as a friend of mine (some 5 feet, 50kg, 2nd dan Japanese Jiu Jitsu and 1st dan Judo with quite a punch behind her kicks and strikes) had to admit: Despite all her technical and fighting prowess, if someone like me with a solid knowledge and ability as a well-rounded fighter and 50%+ higher weight went all out against her, she wouldn't stand a chance if not for some lucky knock out.
On the consequences for martial arts instructors
First off, the following has nothing to do with gender as such.
One of the main consequences is that if you want to have something to offer to all practitioners, you need to understand and be able to develop technical principles for and in your students in various ways. It does not help to just repeat the demonstration of a technique and let your students repeat it as "they will get it on the way". Regardless of the gender, there are three learning types: Some need to see (visual learning), others need to understand (conceptual learning), and some need to be moved correctly (bodily learning). Everyone needs all components for perfection, but especially for the initial acquisition of a new technique, there is one type dominant in everyone. Accordingly, you need to address all aspects by being a good model in demonstrations, being able to explain what is going on, and correct movements hands on sometimes (movement restriction by forming a barrier or guiding via a stick - no hitting! - if direct contact is socially inadequate).
The same goes for training forms: from mere technical drills to competitive forms to cooperative formats (students helping students) to small "games", the more diverse the technical, cognitive, and social demands, the wider the variety of people your training is able to reach and develop. There always is a certain correspondence needed between instructor and student and you should always remain authentic as you cannot please everyone. But being open to new input and having fun in developing new forms of training will certainly benefit both students and yourself.
Another, more general advice is to be open to listening to and addressing any point students are having problems with, including and beyond mere technical weaknesses (in your own demonstration or their reproduction). Not every technique suits every physique and I sometimes see how a proposed solution for a certain situation just does not work for some students due to them having different body proportions and leverage. This sometimes manifests as demarcation roughly between genders but by no means is limited to that as there are e.g. stout men with short limbs as there are tall women with long limbs. This obviously all the more is important when it comes to social problems of group (or your personal) interaction.
Referring to the first part, the most "gendered" difference will be muscular development. Accordingly, when it comes to power generation (regardless of whether we talk about strikes, kicks, throws, strangles, bars, or even weapon hits), people need a more technical approach with power generation from the whole body if they have less muscle weight. Thus, you need to reflect your own techniques on how much their success or power relies on muscular strength and, in case they do a lot, omit or improve the technical aspects of them before teaching them. Another, minor aspect that comes with the slower muscle growth in women (has to do with hormones as testosterone is one of the main drivers of muscular growth; main reason why male students between 14 and 19 profit most from strength training per unit) is that building up strength takes longer and muscles tend to be more flexible, ie. women need more strength training and less stretching for the same grade of performance improvement. This should be considered when it comes to planning of lessons.
