.. before he left me for someone else
he is quite strict in his views and things and she knows this.
He's not that strict, apparently .. since he's a cheater himself lol.
He sounds like an absolute wanker, knob, dickhead, tosser, bastard, psycho, abuser .. and you can try anything you like do he doesn't abuse you, but he still will.
Id suggest you keep absolutely all communication to strictly exclusively about visiting arrangements and not engage with him at all about anything else. Also his behaviour is quite abusive so I'd record everything and consult women's aid a x police as to how best to deal with him.
I don't see why he needed to be told, unless your daughter chose to tell.him herself ... What does he need to have for her; why couldn't she just go to his with plenty of sanpro and painkillers etc?
You're trying to anticipate and circumvent every single thing he could find out about and somehow twist to criticise/abuse you about, but of will never work because he'll always find something .. because he's not reasonable.
He's be better to learn there are consequences for sending you abusive messages.
You also sound way too soft.
He behaved like this, but you didn't t even kick him out, he left ... You need to really really toughen up with regard to this arsehole of a man. He thinks you're soft, he thinks you're an easy target.