Unfortunately, I can't answer your question with a lot of specifics. We don't have transmission studies on HPV like we do herpes, so I can't give you stats on one time exposures, or likelihood of transmission from oral, etc.
I can say that oral sex is generally lower risk for all STIs than vaginal or anal sex, and that while oral HPV is definitely possible, throat cancer remains rare.
In the US, for example:
"The American Cancer Society’s most recent estimates for oral cavity and oropharyngeal cancers in the United States are for 2023:
About 54,540 new cases of oral cavity or oropharyngeal cancer
About 11,580 deaths from oral cavity or oropharyngeal cancer"
Oropharyngeal includes the soft palate, the side and back walls of the throat, the tonsils, and the back one-third of the tongue.
(https://www.cancer.org/cancer/types/oral-cavity-and-oropharyngeal-cancer/about/key-statistics.html)
There are over 334 million people in the US, and a good portion of them give oral sex. the numbers for oral cancers from HPV would be higher. We know that smoking and heavy drinking are big factors in oral cancers.
Have you had the HPV vaccine? You should talk to your doctor or a local STD clinic and see if you qualify.