Provide generous cover for distracted mothers (7)

I believe the answer is:

smother

I'm a little stuck... Click here to teach me more about this clue!

'provide generous cover' is the definition.
I can't judge whether this defines the answer.

'distracted mothers' is the wordplay.
'distracted' indicates anagramming the letters.
'mothers' is an anagram of 'SMOTHER'.

'for' is the link.

Can you help me to learn more?

(Other definitions for smother that I've seen before include "2 (anag)" , "Muffle" , "Suffocate, stifle" , "Kill by depriving of air" , "don't give enough freedom" .)

I've seen this clue in the Evening Standard.

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