Myanmar is actually a very safe place to travel for tourists, both male and female, and even solo. I travelled solo there and didn't feel the slightest sense of danger anywhere
Myanmar doesn't get many tourists, so there really aren't any scams targeting tourists. Compared to Thailand and Vietnam, Myanmar is leaps and bounds better in terms of scams and general tourist safety
Petty crimes like pickpockets exists everywhere, so use normal level of alert when traveling in Myanmar. Use common sense like don't wear anything ostentatiously expensive
Some specific Myanmar safety tips I have are:
Avoid getting close to animals: there are wild dogs that carry rabies everywhere in Myanmar. Also, monkeys there will get aggressive with you. There are also lots of snakes, but this is only when outside of major cities. If you're hiking you should watch out for snakes.
Don't mess with the government: don't take pictures of government, military or police buildings and personnel. Don't join protests. Myanmar is not really a full democracy and you can get in a lot of trouble if you mess with the government
Don't go to border regions: border regions with Bangladesh has lots of refugee problems and it's one of the regions you should avoid. Border regions with China have major problems with law and order because illegal drug activities and militant insurgency activities are rampant in these areas. UK government advises against going to these provinces for any reason
Watch out for the crazy traffic in Yangon and Mandalay: locals drive aggressively, watch for traffic when you're walking around town. It can take some time to get used to if you're coming from a developed country.
Don't drink tap water
Get vaccinated: health care system in Myanmar is poor, so make sure to have at least your routine vaccines up-to-date. UK government recommends vaccines for Hep A, Polio, Tetanus, and Typhoid for most travellers; and Cholera, Hep B, Japanese Encephalitis, Rabies, and Tuberculosis for some travellers. Details here
Get travel insurance: if you do get injured, you'll most likely need to be airlifted to Thailand for treatment as the standards are very low in Myanmar. So make sure you have enough coverage for this kind of emergencies