Rushed party with madame initially unmethodical (6)
I believe the answer is:
random
'unmethodical' is the definition.
(thesaurus)
'rushed party with madame initially' is the wordplay.
'rushed' becomes 'ran' (**).
'party' becomes 'do' (do is a kind of party).
'with' says to put letters next to each other.
'initially' says to take the initial letters.
The first letter of 'madame' is 'm'.
'ran'+'do'+'m'='RANDOM'
(Other definitions for random that I've seen before include "Roderick came before it" , "casual?" , "Without pattern" , "Without a particular aim, haphazard as choice may be" , "Unsystematic" .)