Escape from disastrous tour with global organisation (6)
I believe the answer is:
outrun
'escape from' is the definition.
(to outrun someone is to escape them)
'disastrous tour with global organisation' is the wordplay.
'disastrous' indicates an anagram.
'with' says to put letters next to each other.
'global organisation' becomes 'UN' (United Nations).
'tour' is an anagram of 'outr'.
'outr'+'un'='OUTRUN'
(Other definitions for outrun that I've seen before include "Go faster than as in foot race" , "Go faster than, on the gallop" , "Be too fast for on foot" , "Lose" , "Overtake, escape" .)