Anxiety is covered under The Americans with Disability Act. If you get fired because of your anxiety, you can sue their pants off.
Separation anxiety sucks. Try to get a picture of you and your husband together to keep with you, so you can look at it when you're having a hard time. If you can work for 21 consecutive days, successfully, you will have formed a nice habit of being able to be away from your husband for however long you're at work.
You can start now, so it's easier. Try to spend at least an hour a day away from your husband--for 21 days straight. If you mess up, the 21 days will have to start over, but trust me..in the long run, you'll be thankful!
I used to think I had separation anxiety from my boyfriend. He'd be at work from 7:30Am to 5:45PM, and sometimes he'd be able to come home on his lunch break. I thought his coming home for an hour and then leaving again was really hard on me, until I figured out that I was feeding off of his dog's separation anxiety, and just didn't like being in a strange apartment by myself all day.
Now, I spend more time alone while he's at work, but I enjoy the time alone because I can come on this forum and get help without him reading things over my shoulder!
I promise that it gets better, and it gets easier. Having a job will be good for your self-esteem, and learning how to do it on your own will help you grow better as a person!