Amina Inloes, Amina Inloes is originally from the US and has a PhD in Islamic Studies from the University of Exeter on Shi'a hadith. She is the program leader for the MA Islamic Studies program at the... Answer updated 1 month ago

Yes.

Why would God punish or restrict a woman due to her paternal lineage to only allow her to marry a certain group of men, whereas other Muslim women are allowed to marry any Muslim man? 

However, I do think it's advisable to take sect into consideration when marrying, and to make sure that the husband and wife have compatible ideas about religion, especially if there is the possibility of children. However, this is general advice, not related to one's lineage.