Am I in the wrong here? 😕

So I’ve only been dating my bf for a few weeks now.
And he wants to meet my parents and my mom wants to meet him too…
But I’m a bit hesitant because these past few months my relationship with my mom hasn’t been exactly the best
(long story )

😕 My dad tells me that whenever I’m comfortable introducing them then that’s fine. He doesn’t really care as long as he’s treating me right ( which he definitely is ☺️) For some reason my mom is demanding to meet him, she thinks that he had to ask for their permission first in order to even date me ( she’s very old school) which I understand but I’m not hung up on it

Any advice? Am I overthinking things? 😕