My daughter was the same way---only mommy & no one else but mommy would do. She is our first child & the first grandchild to all her grandparents, and everyone was hurt & sad because only I could hold her--and she screamed if I put her down for a second.
So I held her tight, loved her with all my heart, and tried every few days to let someone else hold her. My arms were aching, I was so tired, but I just keep thinking that it would pass soon.
The first breakthrough came with time. At around 4.5 months daddy could hold her when I wasn't in the room. Within a few weeks, she allowed my husband to hold her even when I was there. But he was the only one. She would shriek when my mother-in-law or sister-in-law picked her up, and they would hurriedly pass her back to me.
When she was almost 6 months old, we were at a party & another mom begged to hold her. I warned her it might be difficult especially since it was the first time my daughter had ever met her, but this experienced mom held out her hands and asked my daughter's permission before picking her up. My daughter looked up into her face & held up her arms to be picked up, and only then did the other mom pick her up. She didn't cry the whole night, and I enjoyed my first real break since my daughter was born.
I'd love to say things changed overnight, but they didn't. Sometimes she let people hold her, other times not. It wasn't until she was almost 10 months old that she let her grandma hold every time we went to visit.
I thought for a while I was doing something wrong, but I realized that was just her intense personality. Now at 11 months, she will crawl towards grandma and reach for her FROM MY ARMS because she intensely loves her. She will scream with delight "Dada, dada!" when daddy comes into the room & loves him so much it makes me cry with the beauty of it.
Your daughter will bond soon with your husband and everyone else & you'll get your much deserved and needed break! Hang in there mommy--you’re doing great!