Satisfy female monarch disheartened with church (6)
I believe the answer is:
quench
'satisfy' is the definition.
(I know that quench is a more specific form of the action satisfy)
'female monarch disheartened with church' is the wordplay.
'female monarch' becomes 'queen' (synonyms).
'disheartened' means to remove the middle letters (the middle or heart is removed).
'with' means one lot of letters go next to another.
'church' becomes 'ch' (abbreviation on maps etc).
'queen' with its centre removed is 'quen'.
'quen'+'ch'='QUENCH'
(Other definitions for quench that I've seen before include "Damp down" , "Satisfy thirst by drinking, or extinguish with water" , "Extinguish (a fire)" , "Slake - assuage" , "Douse" .)