My 3rd baby was like this!!! I had 2 year old twins when he was born and my husband mostly dealt with them while I took care of the baby. Until he was 2, he barely wanted to look at my husband! Then when he turned 2, it actually completely changed and he just wanted his daddy. I think all of my kids took turns with which parent they each preferred and it changed over time, even day by day.
Hopefully if your husband knows this is really normal it might help make him feel less personally hurt. There are times that a baby even prefers a babysitter to a parent if that’s who is taking care of them. They just used their senses to determine safety and feeling the softness of mommy, your scent etc, obviously makes your baby feel secure. Perhaps he can make videos so she can hear his voice during the day and hold some of his clothing while you feed her? Not sure if this will help, but it could be worth a try.