While it's totally normal, as the other moms here have said, I have to encourage you to DO something about it! It doesn't have to be that way! Since you are starting so late, you should encourage your husband to start small with her. First, start with just being as involved as he can be with her everyday care. Feeding, bathing, getting dressed, bedtime, playing, etc. First have him just be with you when you do all these things, which will spark interaction between the 2 of them. Next, have him do some things on his own, even for a few minutes. But the most important thing here is that YOU don't go running in when you hear her start to fuss. Let him try and console her or distract her with a fun game of peek-a-boo or a story. Next he might try taking her outside to play. Then you can progress to you leaving for short amounts of time. Etc., etc. Take it slow, but know that her fussing for a little while because you leave isn't a horrible thing. My oldest used to cry and run after me when I would leave to go to the store or whatever, but I knew that the crying would stop quickly after I was gone, then I would get some much-needed alone time (or time with friends) and my husband and daughter would get their much-needed bonding time. Sure, it broke my heart to hear her cry when I left, but seeing the bond between her and my husband grow made me determined =) Also, I learned early on to not try and tell my husband how to take care of her, beyond when to give a bottle, nap, etc. Sure, he did things very differently than I did, but I knew he would never do anything to place her in harms way, so I just let the little things slide. If you give too much criticism, your husband won't WANT to try anymore.
Good luck!