So heartbroken and afraid of the events to come

Hin by and I went today for our first ultrasound. We should have been 10w6d. The ultrasound tech said that there was a yolk sac and there was a fetal pole, but that it had deteriorated and that the baby probably only made it as far as 6 weeks. My midwife told me that I haven't had any symptoms because my body still thinks I'm pregnant. I opted to attempt miscarrying naturally, because the thought of anesthesia terrifies me (my mother is severely allergic to anesthesia). Now I'm wondering how long I can expect to wait like this before I have to give up and go in for a d&c. I know I can call my midwife and ask, because she probably explained it today. But there was so much going through my head that I don't remember. Anyone have a similar experience?