Separation Anxiety

Did any of you as new moms experience separation anxiety? My little one is two and a half months old now, and I've been back at work for 3 weeks. I know she's safe and well taken care of, and I'm extremely lucky that my daycare provider is also my sister-in-law. But I'm still dealing with some serious separation anxiety everyday. Maybe today it feels worse, because she has a low grade fever and a snotty nose, but I still feel like a complete nervous wreck leaving her most days. (I checked with her doctor's office and they told me not to worry about bringing her in quite yet.) Is this completely normal?