Thank you for your question.
I think you and your partner both should be tested to rule out any STDs.
The reason why I say that is because both of you have a discharge.
The most common cause of such a discharge in a male would either be as a result of gonorrhea
or chlamydia. So I would like that these conditions should be ruled out.
In your case there is also a high possibility of another yeast infection which will need to be treated if diagnosed with something like monistat vaginal cream which is also something that is available over the counter.