Admire or revere greatly (7)
I believe the answer is:
idolise
This clue is a double definition.
'admire' is the first definition.
('admire'->'idolize' is in my internal thesaurus and 'ize'->'ise')
'revere greatly' is the second definition.
(I've seen this before)
(Other definitions for idolise that I've seen before include "Worship extravagantly" , "Love too much" , "Worship and adore" , "Make into a figure of worship" , "Pay inordinate attention to" .)