It is accurate and conclusive.
Polycystic ovaries, hypothyroidism and obesity are not risk factors for hiv. That has nothing to do with her status or yours.
A one time unprotected vaginal sex exposure is low risk for hiv transmission. Your 11 week result is very unlikely to change. For absolute certainty, you can test one more time after 12 weeks.
Health has nothing to do with HIV infection so most of your post has irrelevant info, however any test is conclusive after 12 week tests but a lot of people say 11 is close enough so likely you are in the clear.