I don't think "affair partner" is tough enough. The word partner in there almost sounds like a positive validation.
And I also got rid of the "since our separation is still new... "
Exposing a child to infidelity separated or not is inappropriate... NO AMOUNT of TIME makes a difference there.
If he's still married and there is no divorce even filed yet then he has no business exposing DD to OW... I don't care if the separation has been two weeks or two years.
Exposing your DD to ANYONE should be something you BOTH consent to or it doen'st happen...
NEITHER of you should have the other spouse introducing DD to ANYONE without the other spouse approviing and having prior knowledge...
You need to set a precedent for that now... eventually he will be introducting her to OW's family and God knows who else...
He needs to understand he's a parent and he cant' just do with her whatever he feels like doing... period