Family head made a short journey, inside a month (9)
I believe the answer is:
matriarch
'a short journey inside a month' is the definition.
I can't judge whether this defines the answer.
'family head' is the wordplay.
'family' becomes 'matri' (I am not sure about this - if you are sure you should believe this answer much more).
'head' becomes 'arch' (synonyms).
'matri'+'arch'='MATRIARCH'
'made' acts as a link.
Can you help me to learn more?
(Other definitions for matriarch that I've seen before include "venerable old lady" , "Very old or venerable woman" , "Female head of a family or tribe" , "Woman dominant" , "Powerful older woman" .)