There's a sign woven into her mat (3,3)

'mat' is the definition.
The answer and definition can be both man-made objects as well as being singular nouns.
Perhaps there's an association between them I don't understand?

'there's a sign woven into her' is the wordplay.
I cannot quite understand how this works, but
'a' is found in the answer.
'sign' could be 'he' (he is a kind of sign) and 'he' is found within the answer.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?