Various women around old flame in charge of state (3,6)
I believe the answer is:
Here is my best explanation:
'state' is the definition.
(New Mexico is an example)
'various women around old flame in charge' is the subsidiary indication.
'various' indicates anagramming the letters.
'around' means one lot of letters goes inside another.
'old flame' becomes 'ex' (I've seen this in other clues).
'in charge' becomes 'ic'.
'women' with letters rearranged gives 'newmo'.
'newmo' enclosing 'exic' is 'newmexico'.
'of' is the link.
(Other definitions for new mexico that I've seen before include "US state since 1912", "Southern US state", "State of southern US", "US state, capital Santa Fe", "American state, capital Santa Fe", "US state W. of Texas", "Forty seventh state of the USA" and "SW US state".)