Obvious snub includes King Charles, initially (5-3)
I believe the answer is:
clear-cut
'obvious' is the definition.
(thesaurus)
'snub includes king charles initially' is the subsidiary indication.
'snub' becomes 'cut' ('cut' can be a synonym of 'snub').
'includes' indicates putting letters inside.
'king' becomes 'lear' (**).
'initially' says to take the initial letters.
The initial letter of 'charles' is 'c'.
'lear'+'c'='learc'
'cut' enclosing 'learc' is 'clearcut'.
(Other definitions for clear-cut that I've seen before include "Distinct and sharply-defined" , "Well defined" , "Very distinct, not open to doubt" , "Cruel act (anag)" , "Sharp" .)