Walk from house, meeting old female (4)
I believe the answer is:
hoof
'walk' is the definition.
('hoof' can be a synonym of 'walk')
'house meeting old female' is the wordplay.
'house' becomes 'ho' (abbreviation for house).
'meeting' means one lot of letters go next to another.
'old' becomes 'o' (common abbreviation eg in OE for Old English).
'female' becomes 'f' (abbreviation).
'ho'+'o'+'f'='HOOF'
'from' is the link.
(Other definitions for hoof that I've seen before include "Horse's horny foot casing" , "Kick powerfully" , "Part of horse's foot" , "Kick - dance - part of a horse" , "Animal foot" .)