I wouldn't really call that a reverse king's gambit. That's more of a reverse scandanavian or something. Google says 1. d4 e5 2. exd4 is the Englund Gambit, and 2. ... f6 is considered a variation of the Soller Gambit, for whatever that's worth to you.
If your opponent plays 3. e4, you are in a lot more trouble. Your development is cramped, you are down a pawn and you can't retake on e5, because that drops a rook to Qh5+ (g6 is forced, then Qxe5+ wins the rook in the corner).
But that's the fun part of playing unorthodox gambits in blitz. Your opponents often don't take advantage of it and you end up with a whacky game.
I was researching King's Gambit opening for white, and for some reason decided to toy around with some strange behavior on blacks part.
Fortunately I was lucky to win - but I don't think I'll try this defense again :-)