what type of sentence is this,

In one of her columns, Abigail Van Buren printed the letter of “I’d rather
be a widow.” The letter writer, a divorcée, complained about widows
who said they had a hard time coping. Far better, she wrote, to be a
widow than to be a divorcée, who are all “rejects” who have been “publicly
dumped” and are avoided “like they have leprosy.” Abby recognized
the pseudoreasoning for what it was, though she did not call it by our
name. What is our name for it?

Check this site to see which fallacy you think applies.

http://www.nizkor.org/features/fallacies/

False Dilemma

This sentence is an interrogative sentence. It asks the question, "What is our name for it?" The sentence is asking for the name of a specific concept or term.