Women restricted in Dubai? Parts of it are like Vegas, but more!
I have a friend who lived & worked there for a few years. There is a huge expat community, people from around the world, there. She said that occasionally you'd hear about someone being kicked out for saying something negative about the emir, but it was rare & she didn't worry about it.
I didn't know about the airline you mentioned. Emirates airlines will let you have up to a 3-day layover there, free of charge.
ETA: From your post:
The drinking age is 21. Drinking in public or being drunk in public are not tolerated.
Offensive language, spitting, aggressive behaviour and smoking outside designated areas are not tolerated.
Public displays of affection such as holding hands or kissing are not tolerated.
It is customary for men to shake hands however Emirati women tend not to offer their hands to men.
Men should avoid staring at local women or attempting to make eye contact.
During Ramadan while Muslims are fasting from dawn to dusk,
non-Muslims can only eat and drink in screened-off areas in many
hotels and restaurants.
Wear respectful clothing. Swimwear is appropriate by the pool or on
the beach but frowned on elsewhere. Low-cut dresses or tops, short
skirts and short dresses are not recommended in public.
Men should wear a T-shirt or shirt at all times
I don't think those are things my friend is likely to do anyway.