Woman is gentle, looking angry (7)
I believe the answer is:
mildred
'woman' is the definition.
(woman's name)
'gentle looking angry' is the wordplay.
'gentle' becomes 'mild' (similar in meaning).
'looking angry' becomes 'red' (someone may go red when angry).
'mild'+'red'='MILDRED'
'is' acts as a link.
(Other definitions for mildred that I've seen before include "Woman" , "Girl" , "lady?" .)