Invite to tango, perhaps, bumping daughter sideways (7)
I believe the answer is:
askance
'sideways' is the definition.
(thesaurus)
'invite to tango perhaps bumping daughter' is the wordplay.
'invite to' becomes 'ask'.
'tango perhaps' becomes 'dance' (tangoing is a kind of dancing).
'bumping' is a deletion indicator.
'daughter' becomes 'd'.
'dance' with 'd' taken out is 'ance'.
'ask'+'ance'='ASKANCE'
(Other definitions for askance that I've seen before include "Distrustfully" , "suspicious attitude" , "With doubt or mistrust" , "Look this way in doubt or suspicion" , "With suspicion or disapproval" .)