Jack ejected from meeting for insincere emotion (7)
I believe the answer is:
unction
'insincere emotion' is the definition.
'jack ejected from meeting' is the wordplay.
'jack' becomes 'j' (playing card abbreviation).
'ejected from' indicates named letters should be taken away.
'meeting' becomes 'junction' (I've seen this before).
'junction' with 'j' taken away is 'UNCTION'.
'for' is the link.
(Other definitions for unction that I've seen before include "Balm - oily charm" , "Extreme sacrament for the dying" , "Ointment - (false?) sincerity" , "Religious rite of anointing with oil" , "An anointing; oily charm" .)