Typically rich female Conservative rebel defends name (4-5)

'typically rich female' is the definition.
(blue-rinse can describe rich or conservative women)

'conservative rebel defends name' is the wordplay.
'conservative' becomes 'blue' (I've seen this before).
'rebel' becomes 'rise' ('rise' can be a synonym of 'rebel'**).
'defends' means one lot of letters goes inside another.
'name' becomes 'n' (common abbreviation e.g. on forms).
'rise' going around 'n' is 'rinse'.
'blue'+'rinse'='BLUE-RINSE'