That's pretty amazing you saw this new lady four times last week! My husband and most of my friends are doctors and all I can say is they may have achieved career success but that often means they've had to put other aspects of their lives on hold. They may have less experience with dating if they've recently graduated. It does seem if this new lady needs so much attention early on that could be a bit of a red flag, but it's just dating and the worst that could happen is you decide to stop seeing her. At least after all you've been through with your wife nothing should phase you too much at this point!