Introducing two cats

So my roommate and I are introducing out cats. They’ve been sniffing and pawing at each other through our doors for the past month, we’ve swapped toys a couple weeks ago. My cat has trauma from being in a past cat hoarders home, so we’ve been limiting their interactions. When they paw and meow at each other from opposite sides of our doors there’s never any hissing. We decided to introduce them in person today, with the carrier acting as a barrier (no baby gates). Both of them tried to smack each other? Honestly I’m unsure if this is a good or bad sign. It’s only been one day and we plan to continue this for the upcoming days. I’ve tried to give my boy (black cat) some treats/play with toys around her (other cat), but he’s hyper focused on her when she’s around.

Thoughts??