Woman waltzing around has parents outside fired up (7)
I believe the answer is:
matilda
'woman' is the definition.
'has parents outside fired up' is the wordplay.
'has parents' becomes 'adam' (I can't explain this - if you can you should give a lot more credence to this answer).
'outside' means one lot of letters goes inside another (some letters go outside others).
'fired' becomes 'lit' (set on fire).
'up' shows that the letters should be reversed in order (in down clue: letters go upwards).
'adam' placed around 'lit' is 'adlitam'.
'adlitam' backwards is 'MATILDA'.
'waltzing around' acts as a link.
This may not be right. Some or all of it may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for matilda that I've seen before include "Waltzing girl" , "She fought Stephen for the crown in twelth century England" , "12th century English empress" , "would go around with a swagger" , "Bundle of possessions" .)