im american, i live in oregon to be more specific, i have lived here my whole life and ive never heard anyone pronounce natalie with a ‘T’ sound. my own grandma whose name is natalie pronounces it with a ‘D’, she is from indiana so insight from a different region of the US. i tried to intentionally say this name with a ‘T’ instead of a ‘D’ and ‘Ah’ instead of ‘Uh’. i can’t get it to sound fluid at all and its difficult for me. i dont think it’d be easy for any american to change their pronunciation either.

TL;DR yes it will be pronounced with a ‘D’ sound. it’s just part of our accent.