Praise be to Allah.
Given that the Qadiani school of thought is a form of major Kufr (disbelief) which puts them beyond the pale of Islam [i.e., Qadianis are not Muslims see Question 4060], it is not permissible to marry this woman, because Allaah says (interpretation of the meaning):
They are not lawful (wives) for the disbelievers nor are the disbelievers lawful (husbands) for them [al-Mumtahinah 60:10]
And Allaah knows best.
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