Welcome to the forum. Thanks for your question.
HIV has never been documented to occur by kissing. Among other things, salvia inactivates the virus, so people with HIV don't infect people with their oral secretions; and people exposed orally rarely are infected. On the other hand, nobody can say the risk is zero, especially with repeated open mouth kissing. Is your kissing partner on treatment for her HIV infection? What is her viral load (the amount of HIV in her blood)? If on treatment with a low viral load, any miniscule risk will be even further reduced. In any case, to be maximally safe, I would recommend you have an HIV test from time to time, like once a year.
Other STDs also are not transmitted by kissing, with few and rare exceptions. Oral gonorrhea is not transmitted at all by kissing. Oral herpes due to HSV-1 could be transmitted, but that's not considered an STD if it doesn't involve the genital area. Here is a recent discussion that explains the biological reasons why kissing carries little or no STD risk:
http://www.medhelp.org/posts/STDs/Short-lip-tot-lip-kiss--risk-of-syphilis/show/1861534
Of course French kissing is a very efficient way to transmit colds, influenza, and a number of other non-STD infections -- so your sore throat could indeed be caused by a virus you caught from your partner. You can assume that any respiratory infection that either of you gets, the other will catch as well.
I hope this has helped. Best wishes-- HHH, MD