That’s fair enough.

I’m really sorry, but it just comes across that she was pressured by her family into marrying you, has given it a shot but just isn’t warming up to you (whether it’s you personally, your family, being away from her family, or a mix of all the above). Maybe she thinks having a baby will make you grow closer (spoiler alert, it won’t). You could be doing everything right, but if it doesn’t work, it doesn’t work.

I personally live quite far from my parents, I see them only 3-4x per year, but I was quite independent and moved for my career before marriage. Of course I still miss my them, but I would never feel the urge to leave my home for a month. The only person I know who visits home very regularly does it to get away from her unhappy marriage.

Let the ultimatum be therapy - if she chooses not to pursue it, at least you can honestly say that you tried.