Hi Hela
There probably isn't any one comment that would be the "most likely thing" to say to Tex. The comment(s) would depend the personalities involved and also on whether Tex had often kept Tammy waiting in the past.
I don't really understand why you want to use the word "own" unless you want to imply that he forgets appointments that he has no part in (but why should he worry about other people's appointments?)
I don't really see much difference between using forget and not remember here. But to me the use of the word forget would usually tend to sound more negative even though it wouldn't be negative grammatically.
Assuming that Tex is often late for appointments with Tammy, here are some ideas (to be uttered with the appropriate level of sarcasm and possibly with a bit of eye rolling):
Tex, your memory is like a sieve. Don't you ever remember your appointments?
Don't hurry just on my account, Tex. (I've only been waiting for an hour.)
Just take your sweet old time, Tex...
Do you forget all of your appointments (or do you just like giving me special treatment)?