Bush has first of aides thrown out by hotel (8)
I believe the answer is:
hawthorn
'bush' is the definition.
(hawthorn is a kind of bush)
'first of aides thrown out by hotel' is the wordplay.
'first of' suggests taking the first letters.
'out' indicates an anagram (out can mean wrong or inaccurate).
'by' means one lot of letters go next to another.
'hotel' becomes 'h' (phonetic alphabet: alpha, bravo, charlie etc.).
The initial letter of 'aides' is 'a'.
'thrown' is an anagram of 'wthorn'.
'a'+'wthorn'='awthorn'
'awthorn' put after 'h' is 'HAWTHORN'.
'has' is the link.
(Other definitions for hawthorn that I've seen before include "Hedge-tree" , "plant" , "Spiky tree with small red berries" , "Common hedge bush" , "May tree" .)