Harass and quietly steer away (6)
I believe the answer is:
pester
'harass' is the definition.
(I know that pester is a more specific form of the action bedevil)
'quietly steer away' is the wordplay.
'quietly' becomes 'p' (p for piano and quiet).
'away' indicates anagramming the letters (letters move away from their original places).
'steer' is an anagram of 'ester'.
'p'+'ester'='PESTER'
'and' acts as a link.
(Other definitions for pester that I've seen before include "Keep bothering" , "Annoy with frequent requests" , "Annoy with frequent questions" , "Importune" , "Bug" .)