Dame didn't like being tolerant (5,6)
I believe the answer is:
broad minded
'being tolerant' is the definition.
(I've seen this before)
'dame didn't' is the wordplay.
'dame' becomes 'broad' (I've seen this before).
'didn't' becomes 'minded' (I can't explain this - if you can you should believe this answer much more).
'broad'+'minded'='BROAD-MINDED'
'like' acts as a link.
Can you help me to learn more?
(Other definitions for broad minded that I've seen before include "not concerned with principal ways?" , "I'm not fussy" , "Catholic" , "traveller presumably is" , "Liberal" .)