No. A Woman is required to cover herself even if she is alone, otherwise her prayer is not valid. ............
That is straight out of Christian Nun convention and added in to stupid hadith by fools of Islam ..
Ruling Concerning a Muslim Woman Praying without Hijab
Question: If a woman who does not wear hijab is forced to pray or if her hijab is not in accord with the shariah, for example, some of her hair or her skin is exposed for some reason, what is the ruling?Response: First, it is necessary that one realize that hijab is obligatory upon women. It is not allowed for her to abandon it or be lackadaisical towards it. If the time for prayer comes and the woman is not properly attired or properly covered, then her situation may be broken down into the following cases:
If she is not wearing hijab or is not properly covered due to circumstances forcing her to be in that state,1 then she prays in the situation that she is in. Her prayer will then be valid and there will be no sin upon her. This is based on Allah's statement,
"Allah burdens not a person beyond his scope" (al-Baqara 286).Allah also says,
"So keep your duty to Allah (and fear Him) as much as you can" (al-Taghabun 16).However, if the woman is not wearing hijab or is not properly covered out of a voluntary choice, such as following the customs or mode of the people, and the lack of hijab here means not covering her face and hands, then her prayer is correct. But she is committing a sin if she is doing that in the presence of men that she is not related to.
Furthermore, if she is uncovering her shin, forearms, hair on her head and so forth, then it is not permissible for her to pray in that state. If she prays in that state, her prayer is not valid. And she is committing a sin on two counts. First, she is sinful because she is not covering herself in general. Second, she is sinful for performing the prayer in that state.
allah knows the best
Shaikh ibn Baz BABOON Fools.....