If this were a primary oral herpes outbreak, I'd expect some sores ON your lips, even if you had sores in the back of your throat.
This sounds like a different type of infection - strep, tonsillitis, etc. - but you'll need to see your doctor again to find out what's happening.
If you only kissed her and received oral, you aren't at risk for an oral STD. She would be, since she gave you oral. Kissing can transmit oral herpes type 1, but without sores on your lips, it isn't sounding like that. Nothing else related to STDs would transmit from kissing.