Believed to be embarrassed to support Tory team (10)
I believe the answer is:
considered
'believed to be' is the definition.
(I've seen this before)
'embarrassed to support tory team' is the wordplay.
'embarrassed' becomes 'red' (someone may blush or go red when embarrassed).
'to support' means one lot of letters go next to another (in a down clue, some letters hold up others).
'tory' becomes 'con' (abbreviation for Conservative).
'team' becomes 'side' (both can mean a sports team).
'con'+'side'='conside'
'red' after 'conside' is 'CONSIDERED'.
(Other definitions for considered that I've seen before include "Believed to be" , "respected" , "Thought carefully about" , "Looked at" , "Deliberated" .)