Courageous chap accommodating outsiders from Texas (5)
I believe the answer is:
gutsy
'courageous' is the definition.
(synonyms)
'chap accommodating outsiders from texas' is the wordplay.
'chap' becomes 'guy' ().
'accommodating' indicates putting letters inside.
'outsiders from' says to hollow out the word (remove centre letters) (letters on the outside of the word).
'texas' with its centre taken out is 'ts'.
'guy' enclosing 'ts' is 'GUTSY'.
(Other definitions for gutsy that I've seen before include "Spirited; greedy" , "Plucky" , "Brave" , "Courageous, spirited" , "Bold" .)