Conjunction
no matter that
It is unimportant that; it doesn't (didn't) matter that.
No matter that patriotism is too often the refuge of scoundrels. Dissent, rebellion, and all-around hell-raising remain the true duty of patriots. Barbara Ehrenreich
No matter that we could be beheaded for this,” said Esa. "Heads are overrated.” "Yes, they are so unfashionable,” said Miri, imitating an Aslandian accent. "This spring, ladies of style are wearing their feathers in their necks. Shannon Hale
[T]he South looked like anything but a market society, and no matter that slavery was based on the absurd and irrational prejudice of race; slavery's greatest attractions were its cheapness, its capacity for violent exploitation, and its mobility. Allen C. Guelzo