My X shut off on me......

[2006BMWx5]

Well encountered my first problem with my X5. I have a 2006 X5 3.0 has 59,000 on it.

Anyway driving home from work my battery light started flashing and then went off...as I was pulling in to my development she shut off on me the battery light was on and the screen showed Engine Shutoff Safe... I think? Man I could not believe it...I tried to start it and the engine turned over fine but it seemed like it was not getting any gas. I tried a couple of times but no luck at all. Called BMW assist...and they dispatched a tow...and she is sitting at the dealership now. I have been told that it is more than likely the alternator. Does this sound right?