no matter that en · CCONJ
Meanings
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It is unimportant that; it doesn't (didn't) matter that.
She refused to think about Dominic. [...] There had never been any future for them. No matter that she loved him. No matter that he had followed her through time. There was no place for them to come together.
2013, Amanda Ashley, chapter 20, in A Whisper of Eternity: