U would discuss details of access whether it would be supervised it that would have to be assessed I reckon if both of you cant agree it or if you believe him a threat.
Could u negotiate it?
Sorry, only getting around to responding properly to this now - supervised access would've deemed utterly ridiculous and offensive by him, I imagine.
Mostly because he would (correctly) say that he has never been aggressive or similar to his dd, and because he obviously looks after DD on his own i'm out/away/whatever.
That having to change/be limited would be implying, actually outright saying that he's done kind if risk to his dd and I know he's find that insulting, ridiculous etc.
If I said it was because he had in the past been aggressive towards me, I can imagine he'd never tally that with behaviour towards a child/his child. His view would probably be that I am an adult woman who eg did not stop arguing when he asked and escalated something until his temper went etc but that's child does not have that send awareness, ability to control their behaviour etc. so he would never get that angry of lose his temper.
Of course as posters have already pointed out, him losing his temper should not result in aggression with me or anyone, and the person not backing down is no excuse but ...
He'll possibly also say that dd is his flesh and blood, his child in a way that is not comparable to even a partner so it's different ... Though that's just speculation on my part.
Anyway, long story short; I think he'd be deeply offended, outraged even, at the suggestion of supervised contact. If I explained that teenagers etc push buttons/are extremely challenging, he'd probably say that that's a"cross that bridge when you come to it" thing that had no bearing in his access/time with her now as a small child. If I say that she could get more challenging even as s young child,bit will probably be back to the above; he hasn't lost his temper with her and wouldn't.
Sorry, that was ridiculously long.