Let's see... at first it looks as if

1. fxe5 will get the result,

because, if 1. ... Rxe5 2. Qxe5+ Rf6 3. Qxf6#

or, if 1. ... Re8, 2. e6+ Re5 3. Qxe5#

BUT 1. ... Qd5! = spanner in the works!

Okay, ... how about 1. Qg3 threatening Qg7#

Now if 1. ... Rg8 2. Qxg8+ Qxg8 3. Rxg8#

or if 1. ... Qb7 2. Qg8+ Rxg8 3. Rxg8#

So, my final answer = 1. Qg3 etc...

!BBH