Without having more information about the specific circumstances, and your type/level of training to date:
A classic 45 degree shoulder-width stance (weight distributed evenly upon the balls of your feet, rear foot turned out at 45 degrees) provides you with options.
Retreat, pivot, attack, side-step; all can be accomplished to a fair degree from this basic foundation without the need to reposition.
In addition, it is a simple stance that can be assumed quickly and relatively discreetly, even if you're in the throes of an adrenaline dump. It is also a stance compatible with many 'street-functional' martial arts you might be studying such as Krav Maga, MMA, Muay Thai, Boxing, Karate, Jiu-Jitsu.
Some may disagree, but a good philosophy to maintain when training for the stress of real-life combat is to keep things simple. This is a principle followed by most of the military and policing training I've encountered, and these institutions are more invested than most in ensuring their members are trained appropriately for a range of dynamic, unpredictable situations.
Also, whilst I'm not a fan of all of his material, Bas Rutten advocates a non-aggressive upper-body posture commonly employed by security guards which is very useful as a means by which to prepare for incoming strikes.
It is essentially a "thinker" pose. For a right hander, the fist is raised to the chin and the left arm is bent so that the forearm rests horizontally across the torso, the left hand cradling the elbow of the right arm.
In this position, your hands are elevated to a useful degree. When combined with the foot position described above, you have the ability to parry, block and strike hand and/or foot attacks with minimal prior movement and without telegraphing your intent to potential opponents. You are far better placed to defend yourself from this position and you avoid the antagonistic attributes of more explicit fight stances.