Best Move for black to escape losing a power

With the current board setup,  white to play.




He captures the Knight as shown.

In the actual game, the knight was captured and black lost the rook - like shown 


Is there an alternate way to avoid losing the Rook ?  Here is the figure again...


HINT:  Whenever you get an opportunity to exchange queens when the opponent is forced to move the king (denying castling), you may be better of exchanging queen.



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