Run towards this place almost more willingly (6)
I believe the answer is:
rather
'more willingly' is the definition.
('I'd rather do this')
'run towards this place almost' is the wordplay.
'run' becomes 'r' (cricket abbreviation).
'towards' becomes 'at'.
'this place' becomes 'here' (here in this location).
'almost' means to remove the last letter (most of the word but not all of it).
'here' with its last letter taken away is 'her'.
'r'+'at'+'her'='RATHER'
(Other definitions for rather that I've seen before include "Yes, please!" , "On the contrary; sooner" , "More willingly, by preference" , "Infinite time" , "Quite; on the contrary" .)