Going out without baby

I'm a SAHM and my daughter is 10MO.  I don't have family nearby that can babysit so I don't get out on my own unless my husband has the baby. When I actually do go out by myself I feel like I've forgotten something, like a piece of me is missing. I hate being away from her. She is getting very clingy and won't let me leave her sight with anyone other than her daddy. I'm worried she is going to have separation issues. I thought as she got older it would be easier.