Consider the river flowing to Minehead ... (4)
I believe the answer is:
deem
'consider' is the definition.
(I know that deem is a type of consider)
'river flowing to minehead' is the wordplay.
I cannot quite understand how this works, but
'river' could be 'dee' (River Dee) and 'dee' is found in the answer.
'minehead' could be 'm' (head letter of 'mine') and 'm' is found within the answer.
This accounts for all the letters.
This may be the basis of clue (or it may be nonsense).
'the' acts as a link.
Can you help me to learn more?
(Other definitions for deem that I've seen before include "Believe" , "View as" , "Regard, consider" , "Judge, think, consider" , "Card-table felt" .)