While appreciating an Emirati lady from afar is fine, pestering her for a phone number or persistently hitting on her is likely to land you in the nearest jail fairly quickly.
While walking up to a lady in a bar or nightclub and asking for her number or trying to engage her in conversation is fine, any form of harassment is likely to get you thrown out of the bar or even arrested for serious offences.
Make sure that your hands are kept firmly by your sides; while a gentle pat on the butt or a little lip-locking may seem perfectly innocent to you, such behavior is unacceptable in Dubai and can land you in serious trouble with the police, particularly if the lady in question decides to file a complaint against you.
So avoid risky behavior and respect the local culture.
Many foreign couples have been jailed for seemingly innocent behavior, but holding hands in public or a quick peck on the cheek is about as far as you can go in publicly expressing your feelings for your partner.
There is nothing daunting about dating in Dubai as long as you respect the rules and traditions of the local people, particularly when in public places.