To transmit hepatitis C requires that hepatitis C infected blood enter the blood stream of an uninfected person.
While there is a very small rusk of sexual transmission this is more of a concern fir those who engage in rough sexual practices like BDSM or blood sports.
If your partner does not have hep C, or if there was no blood exchange where hepatitis C infected blood could have entered your blood stream there was no risk for the transmission of hepatitis C
For hepatitis B ask in that forum although I doubt there was a risk.