I have had unprotected sex with woman born with HIV 7 weeks ago?

You're probably okay. If she has a congenital HIV infection and is well enough to have been with you, she's being treated and probably won't infect you. Get tested for HIV when your physician recommends -- it's wise for anyone to do. But i hope instead that you'll cherish the experience and in the future, use barrier protection until you're with that one special person you'll love for a lifetime.