Engagment, - Dought& clear, - * He loves a girl and her father agrees to them marrying but her mother refuses

I love a girl who is related to me but her mother does not agree to
giving her to me in marriage, but her father agrees to everything.
What is your answer? I am still keeping her picture.
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Praise be to Allaah.
What counts in order for a marriage to be valid is the consent of the
woman's wali (guardian), which is her father in this case. As for the
mother, it is not essential that she give her permission or consent,
but it is recommended for the father to consult her as a sign of
respect towards her.
Based on this, if the father of the girl agrees, then he can arrange
the marriage contract with you, but is it right to go ahead with this
marriage? That depends. If the girl is religiously committed and of
good character, and the mother's refusal is based on minor reasons or
something that can be rectified in the future, then there is nothing
wrong with going ahead with this marriage. But if her refusal is based
on something that cannot be rectified soon, then it is better not to
go ahead with this marriage, because the mother's attitude may affect
your married life.
Determining what is best in this case needs an examination of the
details of the matter. But in general terms we may say that it needs
you to weigh up the pros and cons, and to look at the nature of the
girl and how much she is influenced by her mother's attitude, if she
will put pressure on her or tell her to go against you. As for your
saying that you are still keeping her picture, if what you mean is
that you have a photo of her, this is not permissible for two reasons:
1 – She is a stranger (non-mahram) to you, so it is not permissible
for you to look at her. This looking is one of the doors that lead to
fitnah. Hence Islam enjoins lowering the gaze, as it says in the verse
(interpretation of the meaning):
"Tell the believing men to lower their gaze (from looking at forbidden
things), and protect their private parts (from illegal sexual acts).
That is purer for them. Verily, Allaah is All‑Aware of what they do"
[al-Noor 24:30]
2 – It is not permissible to keep photos for memories, even if they
are pictures of one's sons and daughters or mahrams, because of the
general meaning of the evidence which indicates that making images is
haraam, and the stern tone of that evidence. It is not permissible to
take pictures of animate beings except in cases of necessity and
urgent need, such as ID photos and pictures of criminals and so on.
Based on this, you have to get rid of this picture and understand that
Allaah is watching you and can see you, so fear Allaah and fear His
punishment, and conceal the 'awrah of believing women, and wish for
them what you would wish for your own family of concealment and well
being.
Do not marry until you ask Allaah for guidance (istikhaarah).
We ask Allaah to guide you.
And Allaah knows best.