Always pack a scarf
Always pack a scarf is one of the Things About Jordan You Should Know. A scarf can be useful for various purposes outside of dress standards. On a hot day, it's a good idea to cover your head to avoid heatstroke—especially if you're visiting a desert tourist attraction like Wadi Rum or Petra. When visiting a religious building, such as the magnificent King Hussein Bin Talal Mosque, female tourists may need to wear a scarf.
To engage with some degree of mutual respect as a western woman in Jordanian society, you'll probably have to go to even greater measures than males to adapt your typical style of dress, however, it is feasible to do so without losing your independence and uniqueness too much. Loose-fitting, opaque garments that hide your legs, arms, and breasts will let you interact normally with local males. Shorts, as well as Lycra leggings, seem overtly provocative and sexual on women. T-shirts should be avoided as well. Because the nape of the neck is regarded as particularly sexy, it is advisable to conceal it with a high collar or a thin cotton scarf.
Another area where conservatism might help deflect unwanted attention is hair. Jordanian women who don't wear a hijab seldom allow their long hair to fall past their shoulders; you should do the same. Some people believe that women with damp hair advertise their sexual availability, therefore you may want to dry your hair before heading out. If you have blonde hair, you must sadly accept a little more curious attention — at least while walking in more conservative locations.