He does not offer the prayers on time because of his work; should she accept him as a husband?

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Check below answers in case you are looking for other related questions:
When is a person regarded as neglecting prayer, and what is the ruling on him?
Is the person who prays Friday prayer only not a kaafir?

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Related Answers:
Neglecting prayer out of laziness
He has contacted her several times saying that he wants to propose marriage, but she does not know anything about him
How can he find out about the one to whom he wants to propose?
When is a person regarded as neglecting prayer, and what is the ruling on him?
Is the person who prays Friday prayer only not a kaafir?

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