Donald Trump is meeting with the last woman -- or next to last -- you'd ever expect ... Carly Fiorina, and her face, have arrived at Trump Tower.

The Prez-elect's opponent in the Republican primaries was escorted into the building Monday morning by Kellyanne Conway. She's reportedly interviewing to be Trump's Director of National Intelligence -- she'd be the first woman to hold the post.

You'll recall Trump said of Fiorina, "Look at that face! Would anyone vote for that?"