Can people have gonorrhea or chlamydia in their throats from oral sex? is this dangerous if you don't know? if a cut in mouth is it in your blood?

Yes, ....: Oral sex with infected partners may transmit the diseases like gono or chlamydia. Some 1/2 of gono-infected women and some 1/10 of men who are infected with gono may be asymptomatic. So, be evaluated and counseled for current concern and future prevention. Best wish to health...

Yes you can: Gonorrhea and chlamydia can cause oropharyngeal or throat infections from "oral sex". Most people with these throat infections tend to have symptoms and experience soreness, painful throats, fevers...and seek treatment and relief; antibiotics can readily prevent the dissemination of the infection to other organs.