Welcome to the forum. Thanks for your question.
First, unless your partner's cervical cancer was less than 1-2 years ago, it is likely the HPV infection that caused it is long gone. Second, oral HPV infection is not nearly as common as genital; the virus appears to less readily infect the oral cavity than the genital area. Third, the vast majority of oral HPV infections never cause any disease and apparently are not transmitted to other partners.
In addition, although the frequency of certain pharyngeal (throat) cancers due to HPV-16 is rising in the US, it's still a rare disease; and there is no evidence the risk is any higher in people who perform oral sex, or are exposed orally to HPV, than in anyone else. Finally, I would point out that you probably have had sex with (and performed oral sex on) a number of other partners over the years. You can assume that at least half those events involved exposure to HPV, including the high risk types like HPV-16. In other words, it is likely you have already been exposed and perhaps infected, in which case this particular event makes no difference.
Here are some links to other discussions about oral sex, oral HPV, and pharyngeal cancer risks. You should find the information reassuring.
The bottom line is that you should not be at all worried. This was a non-event in your life, at least in regard to risk of HPV, other STDs, or oral cancer.
I hope this has helped. Best wishes-- HHH, MD