Minister’s current vehicle parked by entrance to villa (5)
I believe the answer is:
vicar
'minister's' is the definition.
(a religious minister)
'current vehicle parked by entrance to villa' is the wordplay.
'current' becomes 'I' (symbol for electric current).
'vehicle' becomes 'car' (car is a kind of vehicle).
'parked by' is a charade indicator (letters next to each other).
'entrance to' indicates taking the first letters.
The first letter of 'villa' is 'v'.
'i'+'car'='icar'
'icar' put after 'v' is 'VICAR'.
(Other definitions for vicar that I've seen before include "Man with a dog collar" , "Man (or woman) of the cloth" , "See stand-in" , "One preaches" , "Parson" .)