According to lichess.org the solution to this puzzle is not Qc5+ leading to Qxf5. The”correct” solution is Qe3+ then Qxb3. In both cases the white King retreats to h1, but one wins the white Queen, the other a white Bishop. I must be missing something.

UPDATE: Duh. The White Queen kills the black Queen in the first solution. This is why I suck at chess.