I don't see mate in one. Mate in one means the next move is checkmate.
That means the next move has to be a check that the black king cannot escape from. There are only five possible checks in the diagram:
1) BxB. Not mate. Black can recapture with the pawn.
2) Rxp. Not mate. Black can recapture with the pawn.
3) Qxp. Not mate. Black can recapture with the pawn.
4) Qd4+. Not mate. Black can recapture with c5 pawn.
5) Nc3+. Not mate. Black can recapture with the pawn.
No other possible checks.. So no possible mate in one. Unless there's an invisible piece somewhere that I'm not seeing. :D
Qxe5+ (or Rxe5+) is a fun mate in two, though!
Yes, great thinking!!. Now you know there is a problem with the diagram. Just figure out what it is .
If there is a mate n 1: I don't see it; but still looking.
SZ.