Shouting like this is not exactly lordly (6)
I believe the answer is:
loudly
'is not exactly lordly' is the definition.
I can't judge whether this defines the answer.
'shouting like' is the wordplay.
'shouting' becomes 'loud' (I can't explain this - if you can you should believe this answer much more).
'like' becomes 'ly' (similar in meaning).
'loud'+'ly'='LOUDLY'
'this' acts as a link.
Can you help me to learn more?
(Other definitions for loudly that I've seen before include "Resoundingly" , "In a noisy way" , "With relatively high volume" , "With a great deal of volume" .)