Advice from the old lady:
Your situation has some details worth paying specific attention to.
1. You are ex pats. If you divorce your fatherhood role will be stripped from you in all likelihood as you note. Not good. You have a daughter. Raising her properly is of utmost importance. And it is important she see you and knows you as a man.
2. Your wife sleeps with your daughter.
FULL STOP.
What????????????
YOU have allowed this. Stop allowing it. Period. Your wife must sleep in the marital bed. The sleeping arrangements are screwing up your daughter...never mind your marriage.
I agree with
@Mauser96 about making a list.
You must have a forthright conversation. I mean blunt. Does she hate sex? Does she hate it with you? Why? You need to know. Ask her what she would think about you having a mistress. Ask. You are a man and you desire sexual Union. Ok. Put on the table that option openly. What have you got to lose? There are women who will consent to that. It may not be everybody’s value system but it’s worth a conversation.
Insist that she sleep in bed with you. If you snore, lose more weight, or get a wedge or bed that raises up on the headboard side. This idea that she beds with your daughter is bad on many fronts.
If her hair is short ask her to grow it out. If she looks frumpy ask her to change into something more flattering. My guy insists that my hair be very long (nearly to my waist) and expects me in heels and a very tight dress (classy but very tight) when we go out. If he thinks my skirt is too short, he asks me to change. If he thinks the dress is too daytime or business? He asks me to change. And I do. If he wants a different color? I’ll change. I look great in my entire wardrobe so I’m happy to wear what pleases HIM. He likes my nails done and perfume on. He prefers I wear sexy makeup. I do these things to be sexy for HIM. I like to be sexy for me too, but I want to meet his preferences.
My grandmother was very wise. She said always that: A great wife is a lover first, a partner/companion second, and a mother 3rd. Think about that. She was married over 30 years twice & was widowed both times. Her husbands adored her and she loved each and doted on each.
You need to set your expectations and have an in-depth conversation and go from there. Nothing is sacred. Get it all out there.
Only then can you start to sort out the next strategy moving forward. Big ships take time to turn. Take the time & see if you guys can turn the ship.
Be honest and do not hold back.