What is the girls name in James bond that gives out missions to him?

You're likely thinking of "M", the head of MI6, who assigns missions to James Bond. While "M" has been portrayed by various actresses over the years, it's not a specific character name but rather a title.

It's possible you might be thinking of a specific actress who played "M" in a particular Bond film, but without more context, it's hard to pinpoint who you're referring to.