What does "beggars belief" mean?

Solution 1:

It means that something is as close to unbelievable as it can get. To beggar something is to turn it into a pauper, squash it flat, eradicate it, or unembiggen it.

Webster's:

beggar belief (or description ) be too extraordinary to be believed or described.

Edit: Oh, by the way, beggar is used as a verb here.

Edit: Oh, yeah, so in this sentence it means "I can't believe you couldn't wait for more than 40 minutes for a response."