Praise be to Allah.
Your mother’s cousin is not a Mahram for your mother, let alone for you. It is permissible for him to marry you, as you are not a Mahram for him. Among the conditions of Mahram is that it should be permanently forbidden for you to marry him.
For more details, please see the following answers: 5538, 104805, 217, 34791, 65925, 45970.
And Allah knows best.
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