Empty rental in deep trouble (7)

I believe the answer is:

deplete

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'empty' is the definition.
(I've seen this before)

'rental in deep trouble' is the wordplay.
'rental' becomes 'let' (I can't explain this - if you can you should give a lot more credence to this answer).
'in' is an insertion indicator.
'trouble' is an anagram indicator.
'deep' anagrammed gives 'depe'.
'let' put into 'depe' is 'DEPLETE'.

Can you help me to learn more?

(Other definitions for deplete that I've seen before include "Reduce the quantity of (resources)" , "Empty, reduce, exhaust" , "Reduce the number of" , "bankrupt" , "Use up, exhaust" .)

I've seen this clue in The Mirror.

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