It depends.
My advise:
*Ask your roommate if you can shower first, at least every other time.
You should shower asap and avoid wearing makeup while working out.
*And you could wash your face while she showers at the kitchen sink, and just rinse with water during your actual shower (too much washing can cause irritation and dryness that also causes acne to worsen)
*Also wash your face with just water or a gentle cleanser before working out.
*****But whatever you do, do NOT stop working out!!! regualr exercise is VERY important to keeping your hormonal balance and therefore clear skin!