Please help me remember the title of this movie (or any of the actors)?

This may be a tough one, unfortunately. I happened to catch a small portion of this film on tv (on AMC) late one night. Here's what I remember of it:

It's in black and white, and I'm guessing it's from the 1940s or maybe very early 1950s.

The part I saw was a woman singing a song onstage with a lot of "Middle Eastern" sounds in it. The best word I can think of to describe it is Arabian.

Also, the camera was fixed on her face pretty much during the whole scene.

The woman who was singing seemed to have dark features (at the very least, she had dark hair).

I remember that after the film, the Host (who introduces the film and then speaks a bit about it at the end) said that this actress was known for her deadpan (ie. not much emotion shown at all) style of acting.

Any good help at all would be appreciated.