That epic story has many irrelevant details, so let's figure what happened that matters.
I think you are saying that you had vaginal sex. Did you use a condom?
Title is "uncovered"
Also circumcision takes place.
But some final drops of menstrual blood .
Am I for PEP or just the reduced (due to circumc..) risk of 1/2500?
Unprotected vaginal sex would warrant testing.
The soonest you can test your self is at 28 days with a IV Generation HIV test or at 42 days with any standard antibody test.
The risk is low. We have to factor the most important point that your partner has all the reasons to be HIV negative, not every one around is HIV positive. Also, FTM transmission is relatively difficult, it is usually observed for a male partner to get infected it takes multiple unprotected exposure with the infected partner.
It wouldn't be any help to generalize the statistics for HIV infection in specific demography, you had unprotected sex and if you doubt your partner's serostatus, you must test - it is simple as that.
Administering PEP or not is something that should be discussed with an infectious disease doctor and not on online forum. However, based on my experience, a good experienced doctor wouldn't be much worried and wouldn't think that you would qualify for PEP. It's generally recommended to individuals who had sex with a known positive partner or shared needles for IV drugs with an individual of questionable serostatus.
Stay calm, keep away from internet searches for HIV. Think rationally, don't go the symptom route, they don't mean a thing. Test at the aforesaid timeframe. You most likely will be negative.
We can't assume risk percentage by generalising information, there are no formulae to quantify it.
Your risk was low that's all you need to know. You should get tested, we have already told you about your options for testing timeline.