STDs are very rarely transmitted by cunnilingus (oral-vaginal contact); in my 50 years in the STD business, I don't think I've ever seen a patent with oral gonorrhea or chlmaydia following an exposure like yours. You really don't need testing. Of course you're free to do that if you'll sleep better after you get the negative test result. But for sure stay mellow while you wait to be tested and for the result. As for other STDs, the risks are probably just as low. It is the rare female stripper or exotic dancer who has syphilis or HIV, for example-- and the infection chance undoubtedly very low even if she does. But if you would like still more reassurance, you also can test for HIV and syphilis after a few weeks.

I hope these comments are helpful. Let me know if anything isn't clear.

HHH, MD

Be very careful with online searching about this -- or really about any health problem that concerns you. You'll be best off sticking with professional or professionally moderated sites (public health, academic medical centers, etc); and especially avoid sites operated by and for people with the problem of concern or at risk for it (like Reddit, for example). Anyone can write anything and so much information is wrong, whether naively or intentionally. 

Oral swab gonorrhea and chlamydia: 5 days post exposure

Syphilis rapid blood test: 22 days post exposure

Can I trust those results? I realize I’m letting this cause anxiety and I thank you for your continued patience.