I've never heard of it, but you sold me with the phrase, "(i)t may have an edgy sound to it, but that's what I love about it." You should be in sales.
Hard "g" sounds are not always loveable in my experience. It took time for
Dagmar to grow on me. But now the name is in my heart and won't go away easily. I can understand your love for the name Regitze. (I think I prefer the Regitse spelling, but I haven't really considered it enough to make a formal pronouncement on the matter.)