One might make hot tea with company over (pekoe essentially) (4)
I believe the answer is:
cook
'one might make' is the definition.
'cook' can be an answer for 'make' (thesaurus). I am not certain of the 'one might' bit.
'hot tea with company over pekoe essentially' is the wordplay.
'hot tea' becomes 'o' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'with' says to put letters next to each other.
'company' becomes 'co' (abbreviation).
'over' is a charade indicator (letters next to each other) (in a down clue, some letters go over others).
'essentially' indicates the central letters.
The central letter of 'pekoe' is 'k'.
'o' after 'co' is 'coo'.
'coo'+'k'='COOK'
Can you help me to learn more?
(Other definitions for cook that I've seen before include "Capt. James --, explorer" , "Doctor" , "Prepare food" , "Captain of HMS Endeavour" , "New England Test captain" .)