Immerse Señor Gonzales - outwardly distraught (7)
I believe the answer is:
engross
'immerse' is the definition.
(I know that immerse can be written as engross)
'senor gonzales outwardly distraught' is the wordplay.
'outwardly' means to remove the middle letters (only the outermost letters are used).
'distraught' is an anagram indicator (an unsettled or upset order of the letters).
'gonzales' with its centre taken out is 'gs'.
'senor'+'gs'='senorgs'
'senorgs' anagrammed gives 'ENGROSS'.
(Other definitions for engross that I've seen before include "Absorb the attention of (someone)" , "Completely absorb" , "Engulf" , "Rivet" , "Occupy attention fully, absorb" .)