A girl in that place, six, achieved firsts (7)
I believe the answer is:
theresa
'a girl' is the definition.
'that place six achieved firsts' is the wordplay.
'that place' becomes 'there' (as opposed to 'here' meaning this place).
'firsts' says to take the initial letters (I've seen 'first' mean this).
The first letters of 'six achieved' is 'sa'.
'there'+'sa'='THERESA'
'in' acts as a link.
(Other definitions for theresa that I've seen before include "Maria -, eighteenth century empress" , "Girl" , "May's one" , "Maria -, Habsburg empress" , "Avila/Lisieux saints' name" .)