Everything you read is wrong. Only sex risks are unprotected anal or vaginal that is penetrating. HIV is instantly inactivated in saliva or in air too so double zero risk from oral and the cuts are irrelevant.
Nothing you can add will change your zero risk situation.
There is an std forum.
As mentioned by our other users, HIV is only transmitted through unprotected vaginal or anal sex, the sharing of needles, or from mother to child. Hence, yours can be considered a zero risk encounter.