Yes UAE is quite liberal, I went to Dubai last year and stayed there for 6 days and believe me those 6 days were the most carefree days I could think of since school, without exageration.
Heck I could let my mother and sister go out without having to escort them. Over here in Pakistan, eveteasing is a 'normal' harrassment many women have to face everyday under very noses of the law enforcement in the so-called most successful city i.e. Lahore
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Dubai is heaven compared to Pakistan, it all comes down to what sort of lifestyle you will have to give up to come to Dubai. A guy like me will be more than happy to live there.