They say Conrad sent her into the very middle (9)
I believe the answer is:
concentre
'they say conrad sent her' is the definition.
The definition suggests an adverb but the answer is not.
'into the very middle' is the wordplay.
'into' becomes 'concent' (I can't justify this - if you can you should believe this answer much more).
'the very' becomes 'tres' ('very' in French).
'middle' indicates the central letters.
The central letters of 'tres' are 're'.
'concent'+'re'='CONCENTRE'
Can you help me to learn more?
(Another definition for concentre that I've seen is " cluster".)