The prohibition on tucking up the hair and tying it back at the time of prayer applies only to men, not women.,Dought & clear, -

In one fatwa you mentioned in detail that prayer is not valid with
the hair tied back. Does this apply to women too? Is it permissible
for a woman to pray with her hair tucked up or tied back? I hope that
you can give the evidence in detail because some scholars here in
Pakistan say that that is not permissible.
Praise be to Allaah.
Firstly:
In the answers to questions no. 96280 and 163428 we stated that it is
makrooh for a man to pray with his hair tuckedup, which means that
hegathers his hair togetherand ties it back, thus preventing it from
prostrating with him. The prohibition in this case means that it is
disliked according to theopinion of the majority of scholars; it does
not mean that it is haraam or prohibited in the sense understood by
the questioner. It says in al-Mawsoo'ah al-Fiqhiyyah (26/109): The
fuqaha' are unanimously agreed that it is makrooh to tie back the hair
when praying. What is meant by tying back is wrapping the braid around
the head as women do, or gatheringthe hair and tying it at the back of
the head. This is makrooh but if a person prays like that, his prayer
is still valid. End quote.
An-Nawawi (may Allah have mercy on him) said:
The scholars are unanimously agreed that it is not permissible to pray
with one's sleeves or garment rolled up and the like, orwith one's
hair braided or with one's hair wrapped up beneath theturban and so
on. All of that is not permissible according to the consensus of the
scholars, and it is makrooh in the sense of being discouraged and not
proper. If a person prays like that, he has done something wrong but
his prayer is valid. End quote. Sharh Muslim,209.
Secondly:
This ruling applies only to men, not women, because when praying the
woman is commanded to cover herself and if we were to tell the woman
to undo her hair when praying or let her braids prostrate with her, as
we tell men to do, that might lead to it (her hair) becoming uncovered
whilst praying, and it is not permissible to uncover itbecause it is
'awrah. But the hair of a man is not 'awrah, as is quite obvious.
Al-Ghazaali (may Allah have mercy on him) said:
A man should not pray with his hair tied back. This prohibition
applies only to men.
End quote from Ihya' 'Uloom ad-Deen, 1/156
Ash-Shawkaani (may Allah have mercy on him) said:
Al-'Iraqi said: This applies only to men, not women, because women's
hair is 'awrah and must be covered when praying; if a woman were to
leave her hair undone, it might come loose and become difficult to
cover, which would render her prayer invalid.
Moreover, it is difficult for a woman to undo her hair for the prayer,
and we know that the Prophet (blessings and peace of Allah be upon
him) granted them a concession allowing them not to undo their braids
when doing ghusl, even though there is a need to make all of the hair
wet, as stated above.
End quote from Nayl al-Awtaar, 2/393
It says in Asna'l-Mataalib,1/163:
Az-Zarkashi said: We should note that this issue (tying back the hair
when praying) applies only to men. With regard to women, the command
to undo the braid causes hardship and is contrary to beautification.
End quote.
Based on that, there is nothing wrong with a woman tucking her hair or
tying it back when she is praying; she is not required to undo her
braids.