Remained to start stalking the wild deer around (6)
I believe the answer is:
rested
'remained' is the definition.
('rest' can be a synonym of 'remain')
'start stalking the wild deer around' is the wordplay.
'start' says to take the initial letters.
'wild' is an anagram indicator.
'around' indicates putting letters inside.
The initial letters of 'stalking the' is 'st'.
'deer' is an anagram of 'reed'.
'st' put inside 'reed' is 'RESTED'.
'to' is the link.
(Other definitions for rested that I've seen before include "Relaxed, took a break" , "Reposed or took a breather" , "Took a break from activities" , "Took break in desert" , "Took one's ease" .)