Awfully shy PE teacher keeping quiet — encouragement needed to talk (6,7)
I believe the answer is:
speech therapy
'encouragement needed to talk' is the definition.
(therapy for people with speech problems)
'awfully shy pe teacher keeping quiet' is the wordplay.
'awfully' is an anagram indicator.
'keeping' indicates putting letters inside.
'quiet' becomes 'p' (music symbol for 'piano', ie soft or quiet).
'shy'+'pe'+'teacher'='shypeteacher'
'shypeteacher' is an anagram of 'seechtherapy'.
'seechtherapy' placed around 'p' is 'SPEECH THERAPY'.
(Other definitions for speech therapy that I've seen before include "Treatment of communication disorders" , "Diction treatment" , "Treatment to facilitate talking" .)