I had surgery to remove a soft ball sized ovarian cyst when I was around 16 weeks pregnant with my little boy. It is really scary. My OB and perinatologist waited until I was past the first trimester to minimize the risk of miscarriage and I was given an epidural because it was safer than general anesthesia. Since you are going to be awake like I was, ask for an anesthesiologist with a great bedside manner to help put you at ease and relax you. I had Dr. Nagamma Kilaru who came highly recommended and loved her. I loved her so much that I requested her when I had my next two c-sections. She helped to explain what I was feeling and to relax me and reassure me that my baby would be fine. Ask them if they will do an ultrasound after the surgery so that you can see that the baby is fine and to put your mind at ease. I delivered a healthy, full term active little boy who is now 2.5 years old.