Assalamu alaykum,

If a muslim woman does not wear hijab,will her prayer (salat , sawm, zakat.. etc) be accepted by allah? I want to know about it. I have heard from a person that her "ibadat" will not be accepted. I did not believe him. But is it ? I want to know the truth. Thanks.

Wa alaikum salaam bluefairy

Verses that have to do with hijab:


“And tell the believing women to lower their gaze (from looking at forbidden things), and protect their private parts (from illegal sexual acts) and not to show off their adornment except only that which is apparent , and to draw their veils all over Juyoobihinna (i.e. their bodies, faces, necks and bosoms) and not to reveal their adornment except to their husbands, or their fathers, or their husband's fathers, or their sons, or their husband's sons, or their brothers or their brother's sons, or their sister's sons, or their (Muslim) women (i.e. their sisters in Islam), or the (female) slaves whom their right hands possess, or old male servants who lack vigour, or small children who have no sense of feminine sex. And let them not stamp their feet so as to reveal what they hide of their adornment. And all of you beg Allaah to forgive you all, O believers, that you may be successful” [Quran al-Noor 24:31]


“And as for women past childbearing who do not expect wedlock, it is no sin on them if they discard their (outer) clothing in such a way as not to show their adornment. But to refrain (i.e. not to discard their outer clothing) is better for them. And Allaah is All‑Hearer, All‑Knower”[Quran al-Noor 24:60]


“O Prophet! Tell your wives and your daughters and the women of the believers to draw their cloaks (veils) all over their bodies . That will be better, that they should be known (as free respectable women) so as not to be annoyed. And Allaah is Ever Oft‑Forgiving, Most Merciful”[ Quran al-Ahzaab 33:59]


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Taken from Islamqa site.
If a woman does not wear hijab, then she is disobeying her Lord thereby, but her fast is still valid, because sins, including not wearing hijab, do not invalidate the fast, but they detract from its reward, and may cause it to be lost altogether.

What we urge you to do is wear hijab as well as fast, because the aim of fasting is not merely to give up food and drink, rather the aim is to fast or abstain from haraam things. Hence the Prophet (peace and blessings of Allaah be upon him) said: “Fasting is not just (abstention) from food and drink, rather fasting is (abstention) from idle and obscene talk.” Narrated by al-Haakim and classed as saheeh by al-Albaani in Saheeh al-Jaami' (5376).

Idle speech refers to that in which there is no benefit.
So let your fasting motivate you to obey Allaah and keep away from that which He has forbidden.

We ask Allaah to help you to do that which He loves and which pleases Him.
And Allaah knows best.

For the full article please refer link
Islam Question and Answer - Does not wearing hijab invalidate the fast? (http://www.islamqa.com/en/ref/107624/hijab%20sin)
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Hope this helps.

Thanks again firmbeliever.