K., I had this problem with my first child (girl), too. It breaks your heart to hear they cry the whole time you're gone, doesn't it? The person who saved me (and my marriage) was a college student whom I had known since she was 10 years old. She watched my daughter once a week without fail, whether I needed her or not. Sometimes my husband and I went out to dinner or a movie, and sometimes we just went grocery shopping. My daughter cried the whole time, unless she fell asleep, probably exhausting herself from crying. Beth never told me; she just said everything was fine. It took about two months for the pattern to end, and it was only then that I finally heard just how much Beth had endured.
She now has a 3 year old of her own, no hearing loss that I know of, and my daughter will be 25 next month.
I'm sure it won't be this bad for you. You would think after this experience we wouldn't have had any more kids, but we had three more after her! And none of the other ones had so much trouble with separation. I just think it's extra hard for mom and baby the first time - you spend so much time together. Don't worry, you'll get through this, and you and your daughter will always have this special bond.
Good luck,
S.