Order Ms Dorries out - she doesn't belong in The House (5)
I believe the answer is:
nomad
'she doesn't belong in the house' is the definition.
(a nomad is a person who roams)
'order ms dorries out' is the wordplay.
'order' becomes 'om' (Order of Merit).
'ms dorries' becomes 'nad' (Nad is short for Nadine eg Nadine Dorries MP).
'out' indicates putting letters inside.
'om' placed within 'nad' is 'NOMAD'.
(Other definitions for nomad that I've seen before include "one must move on" , "Roving person" , "Member of travelling people" , "Person of no fixed abode" , "Itinerant" .)