Rules out broadcast about Frenchman, shaking (9)
I believe the answer is:
tremulous
'shaking' is the definition.
(thesaurus)
'rules out broadcast about frenchman' is the wordplay.
'broadcast' indicates an anagram (letters scattered or cast around).
'about' indicates putting letters inside.
'frenchman' becomes 'm' (abbreviation for Monsieur).
'rules'+'out'='rulesout'
'rulesout' with letters rearranged gives 'treulous'.
'treulous' going around 'm' is 'TREMULOUS'.
(Other definitions for tremulous that I've seen before include "Shaking, quivering" , "Timid; shaking" , "Shaky" , "Quavering" , "Slightly shaking" .)