This woman Davis takes in right silly dean (10)
I believe the answer is:
bernadette
'this woman' is the definition.
The definition suggests a singular noun which matches the answer.
'davis takes in right silly dean' is the wordplay.
'davis' becomes 'bette' (I've seen this in another clue).
'takes in' indicates putting letters inside.
'right' becomes 'r' (common abbreviation).
'silly' is an anagram indicator.
'dean' anagrammed gives 'nade'.
'r'+'nade'='rnade'
'bette' going around 'rnade' is 'BERNADETTE'.
Can you help me to learn more?
(Other definitions for bernadette that I've seen before include "woman - even a > saint!" , "visionary saint" , "Saint of Lourdes" .)