I’ve been to Doha five times. Awesome little city with incredible modern architecture. All hotel employees and everyone who works in the hospitality industry are expats, a good deal of them come from the Philippines, India, Pakistan and various African countries. Still, I would be discreet in public. No public displays of affection, no hand holding, etc. At the hotels where I’ve stayed in the West Bay, I’ve always been amazed at how some foreigners dress- short shorts, bare shoulders, etc. On the hotel beach, some female tourists were wearing thongs. A lot of local guys go jet skiing on the Persian Gulf, and they pass by the hotel beaches very slowly to catch a look.
If you have time, take a cruise on the Persian Gulf in the evening to see the skyline illuminated at night. It’s about $30 US for half an hour and it’s spectacular. In February, it should be cool enough, in the 70s. I wouldn’t do it in the summer when it’s 120°.