Definitions for uninvolved
Random House Webster's College Dictionary
"being uninvolved he remained objective"
degage, detached, uninvolved(adj)
showing lack of emotional involvement
"adopted a degage pose on the arm of the easy chair"- J.S.Perelman; "she may be detached or even unfeeling but at least she's not hypocritically effusive"; "an uninvolved bystander"
Of potential mates, available because not in a committed relationship.
Origin: un- + involved