Hey, this is probably gonna be contended, but I got this from somebody who works in the field of HIV.
Those who are going to truly test positive do so at 4-6 weeks post exposure. Three months is a very conservative window. Test at six weeks if you want to take the pressure off. A negative result at 8 weeks is pretty much a guarantee of your end result, but prudence dictates that a three month test should be undertook. Six months is for those with a compromised immune system. IV drugs, transplant, chemo etc
The THT in the UK also agree with everything up there
And your right, HIV transmission from a woman to a man is significantly more difficult. You have a lot going your way but test to be sure.
Jon.