Let us enquire why Matthew does not mention Bathsheba by name as he does the other women. Because the others, though deserving of much blame, were yet commendable for many virtues. But Bathsheba was not only consenting in the adultery, but in the murder of her husband, hence her name is not introduced in the Lord’s genealogy.
Reproduced in full. Translation: Oxford 1841 (Newman), public domain (Public domain).