I'm going to get circumcised. I heard that a female doctor prepared the skin and performed the operation. Will it be awkward?

No, even if the female nurse prepares the skin, the embarrassment you mentioned rarely happens; They won't care if their mother forced them, because this is the normal reaction of normal people, but you can rest assured that ordinary people will not be embarrassed even if they think of embarrassing things in that situation. When people are highly nervous, sexual reflex will be inhibited.