to be honest... it is really much more conservative in abu dhabi than Dubai... a little bit more 50% I think. hahahah
Please consider this as this is really happening unless the woman you want to date is kinda powerful or already divorced Emirati woman which has a kids, but normally they will get married either outside UAE or they will make an Emirati woman married the known Local Guy as well, if you want to have an Emirati woman girlfriend, it's possible but most likely you will end up hide and seek relationship... But again honestly, it's only 5% of young Emirati Woman will get socially interested(with or without relationship) to an Expat Man, I don't see much actually even most of my time is with them. (Sharia deals with many topics, including crime, politics, and economics, as well as personal matters such as sexual intercourse, hygiene, diet, prayer, everyday etiquette and fasting. Adherence to sharia has served as one of the distinguishing characteristics of the Muslim faith historically.[5] In its strictest and most historically coherent definition, sharia is considered in Islam as the infallible law of God) .... You can wear Condura even if your were an Iranian, but most likely it will be frowned upon mixed-locals or Emirati only (people have blood from Locals) BUT IF YOU WERE FRIEND OF REAL LOCALS (not only someone who has a passport visa of saying he/she is an EMIRATI but there's another passport for REAL LOCALS) and you are with them always, they will treat you as a brother, you can wear anything infront of them. I am not being mean, I just wanna share to you the most likely thinking that they will do when you pass by with them.
Regarding the Emirati woman; some can wear anything they want when they go out of the country with there friends. BUT the real local woman they have to go with there sisters/brothers/husbands or whoever they can hook on so they can permitted to go outside the country like THAILAND and EUROPE. If the woman grew up outside of UAE, you can see how independent they are, how they talk and how they dress but they consider as an Emirati/Local Arabs in UAE. Most likely they will get higher position in the Company because they know how to deal in multi-national /cultural company and there will be no problem with them in terms of Professionalism.
To filed up everything, don't date them... even they like you hahahhaha, there brothers will come after you! I am just kidding dude. Just sharing you the experience I've seen a lot in surroundings. Maybe you can check one, an Emirati who grew outside of UAE. Hope this helps, goodluck!