Women often travel solo in Kyrgyzstan. Travellers will find that they are treated with old fashioned chivalry, with men giving up their seats on buses, holding doors, and generally looking after the welfare of their female companions.
Kyrgyzstan’s culture traditionally favors modest and practical dress for women. You are unlikely to see ladies showing a significant amount of skin on the street. Many of the traditional Muslim and Russian Orthodox women keep their heads covered in public. There is no need for you to cover your head, but dressing modestly—i.e. a shirt with sleeves and loose pants, or a long skirt— may help protect you from unwanted attention. Especially if traveling alone, this nod to the cutural norm will leave a good impression.
In Bishkek, attitudes are more tolerant but in the countryside, pants and skirts are worn at least knee length, and shoulders and upper arms are covered.
Also, see Health and Safety