Hold in high esteem (5)
(Other definitions for admire that I've seen before include "Have respect for, esteem" , "Esteem, have high regard for" , "Think highly of, esteem" , "'Esteem, appreciate (6)'" , "Hold in high respect" .)
'hold in high esteem' is the definition.
(I've seen this in another clue)
This is the entire clue.
(Other definitions for exalt that I've seen before include "put on a pedestal" , "Aggrandize" , "Uplift in praise" , "Raise high, glorify" , "delight" .)