Imperceptibly put feminist in a fix after the welcome by a single friend (15)

'imperceptibly' is the definition.
Both the answer and definition are adverbs.
Maybe you can see a link between them that I don't see?

'feminist in a fix after the welcome by a single friend' is the wordplay.
I cannot really see how this works, but
'in' is within the answer.
'a' is found in the answer.
'single' could be 'i' (one) and 'i' is found within the answer.
an anagram of 'feminist' is 'fnitesim' which is within the remaining letters.
This may be the basis of clue (or it may be nonsense).

'put' is the link.

Can you help me to learn more?