Follow Her Majesty in wheeled vehicle (7)
I believe the answer is:
trailer
'wheeled vehicle' is the definition.
(trailer is a kind of wheeled vehicle)
'follow her majesty' is the wordplay.
'follow' becomes 'trail' (I've seen this before).
'her majesty' becomes 'er' (Elizabeth Regina).
'trail'+'er'='TRAILER'
'in' is the link.
(Other definitions for trailer that I've seen before include "An ad; one towed" , "Advertisement for a TV programme" , "Creeping plant" , "home on wheels" , "Advance ad for film" .)