Your daughter has a voice. It sounds like your husband may be using the fact you want to protect your daughter’s wishes against you both in a tactical move to keep you there so he doesn’t seek shared care. That in itself is pretty messed up. Does he care for her at the moment, or is it all you?
The fact he is using this as a threat is bad enough and shows the truly egocentric, narcissistic qualities of this man, that he would be willing to subject his daughter to and unwanted stressful situation merely to assert his power - much like what he is doing to her mother! Do you see this OP?
This is how he views the closest women in his life. Is it any wonder that he can’t understand why you have a problem with him sleeping and ‘exploiting’ ‘exploring’ other women who he is not meant to care about?
He thinks or says that he loves you. Therefore, fucking these other women doesn’t count bc he has no feelings attached to them. It’s just sex. However he claims that he does love you. You love him, but the only way you have mentally and emotionally been able to cope with giving him what he ‘needs’ (wants) is to disconnect and view him as a friend. He was presumably ok with this bc it enabled him to have his cake and eat it and keep what he values - family man status, more cash, his pension plan (?) etc but now annoyingly for him you have thrown a spanner on the works. He was living the life. But you’ve suggested that rather than consign yourself to living in she virtual nunnery, you may be open to seeking emotional and physical intimacy elsewhere - that of course is joy acceptable (to him).
He is unable to accept that to have sex, other ppl, (usually women) need to have an emotional connection- as you put it, to feel safe. He doesn’t need to do this. He is struggling with the fact that he thinks/says he loves you and can have unemotional sex with scores of other women, but still ‘love’ you. You are telling him that you love him like a friend but would be open to finding emotional/sexual love with another man in order to have sex - as you do not want casual, meaningless sex like he does. It’s bizarre but he probably feels like he is being loyal to you in a way bc he ‘cares’ about you and wants to remain in a relationship with you but is threatened by the fact you can’t separate/ compartmentalise and would be in a relationship with another man to have sex.
What it does illustrate is that he likely doesn’t care whether you actually love him or not the way you’d want to, to connect with him, as he expects you to be able to have sex with him no matter what you are feeling - essentially engage in meaningless sex between the two of you - as long as it ticks that particular box. It probably shows that he also doesn’t think of sex with you in the same way - you’re different to a prostitute or a casual hook up but he is still able to perform and find enjoyment to sex with you without being overly invested in emotion - so he can’t get his head round why you can’t do that with him. It’s miscommunication AND MASSIVE SELFISHNESS!
Regarding your daughter (to get back to the first point I deviated from, sorry) I think you’ll find that her voice matters more than you appreciate. He may well insist on shared care, but she is 15 and has rights of her own. If she expresses that she doesn’t want her father (who engages in all kinds of taboo sexual practises by the sounds of it) to not physically care for her then this will be taken into account. Have you spoken to any lawyers about this? I suggest you do. She has autonomy over her own body and just bc he thinks he has a legal and moral right to yours does not mean he can bully your daughter into allowing him to care for her against her wishes. You need to find out the exact score so you can reassure her about this.
And get out!