Normally, the most common STD transmitted by kissing is herpes, but you would have seen the lesions on that lady's lips.
If the vaginal fluid reached your throat there is risk of any other infection, like syphilis and gonorrhea. But to be honest the risk is really low.
If you are infected and you perform cunnilingus f course you can transmit those infections to this new woman, as oral sex exposes to those germs. But, one more time, the risk is really low.