Thank you! That is what I thought but from what I have read here but I just needed some reassurance.
Theoretically syphilis can be transmitted by kissing, but it is very rare. And if you had been infected, your first symptom would have been a chancre (syphilitic ulcer) on your lip, tongue, or elsewhere in or on the mouth. And 2 months is too soon for the skin rash of syphilis.
If you remain concerned, get tested. There is virtually no chance it will be positive.