Welcome to the forum. Thanks for your question.
You don't give me very much to go on here. You're the only one who can judge whether or not there was penile-vaginal (or anal) penetration; and if so, whether a condom was used. You shouldn't be worried about the oral component. The overall STD risk is low for all STDs and zero (or very close to it) for some, including HIV. And even if you had oral contact with her genital area, your tongue bite makes no difference in risk -- still zero for all practical purposes.
I wouldn't assume your partner was in poor health. Being sweaty is more likely related to temperature, alcohol, sexual excitement, etc. And if she was sick, HIV is very unlikely to be the cause; and other STDs are even less likely to cause sweating or fever. Perhaps you could get more information both about the exposure and her health by contacting the lady. You may find she is just as concerned about STDs and HIV as you are; after all, on average women are at greater risk from their male partners than vice versa.
Given the uncertainties, I think it makes sense for you to be tested for common and dangerous STDs. There is no testing "window" for chlamydia and gonorrhea, which are the two most likely consequences; you can have an accurate urine test at any time. The only other tests I would recommend are for HIV and syphilis. Both of these blood tests are virtually 100% accurate by 6 weeks. The odds of either of these is too low for serious worry, so as long as your gon and chl tests are negative, you probably can safely resume unprotected sex with your regular partner. But if you want 100% certainty that sex with your partner will be safe, you'll just have to avoid sex with her for a few weeks. Alternatively, if you speak with your recent partner, perhaps she will agree to testing. If her HIV and syphilis results are negative, you're home free.
Finally, about the window period for HIV testing: Just a few days ago I wrote a blog-like response that explains this in detail. Take a look, then let me know if you have any remaining questions:
http://www.medhelp.org/posts/show/1704700
I hope this helps. Best wishes-- HHH, MD