Feeling Tensed Going Out Without BABY

My hubby let me have some me-time at the hair salon today and he took care of baby at home. My baby is 58-days old. Somehow, I couldn't feel relax. I feel very tensed and feel the need to rush home ASAP to attend to her. My heart kinda beat quite fast. Is this normal for new moms? Will we grow out of this? How to overcome this anxiety. Please share.