I always have to make sure that I enunciate when I speak, because when I speak at my "regular California" accent/range, no one understands me-not even DH!
When I first moved here, people would look at me funny, like they never expected me to be able to speak English "so well"(retail shops, the bank, etc). Then, they'd hear the American accent and it seemed like it was sorted, but, also like they were trying to work it out, like I could see the cogs moving-"so, she's clearly from America, because she clearly speaks English, but, she's...Asian/Filipino/brown/coloured! Wow!"
DH always thinks that I'm exaggerating/being paranoid/seeing something that's not there, and I may well be, but, I know I still felt it. Some days I still do, but, I just put it out of my head most of the time!