Yes, you do not need to worry further. EWH
If I tested negative for chlamydia and gonorrhea can I assume I don't have NGU in spite of the fact I wasn't specifically tested for the latter?
Welcome back to the Forum. First, straight to your question. condoms are highly protective against trich but, even more importantly, trich is not acquired by oral sex.
As for your recurring symptoms, these do not sound like an STD. They could be a reflection of a yeast infection or some unrelated dermatological problem but there is no reason to be concerned that this is a manifestation of an STD.
I hope this comment is helpful. EWH