For all those saying it makes OP look stupid, I disagree. What makes people stupid is the inability to compute an extra letter. Corrected once everyone should remember. I've worked in schools with all kinds of unusual spellings and they are always remembered and the kids not looked down upon, in both private and state schools.
This is so wrong, sorry.
The reality is that some people (I suspect most people) will not remember and will continue to spell it the normal way, and some people will remember and spell it the OP's preferred way, but will still be judging her silently.
I have a name that can be spelled both "ie" and "y". Both spellings are correct. There are many people in my life who persistently spell my name the other way. They can't seem to remember that I am an "ie" rather than a "y", even when "ie" is a correct, and probably the more common, spelling. Would those people remember that it was Daphnie rather than Daphne? No, not a chance. Half the time they probably wouldn't even notice the youneeq spelling because their eyes would just see what their brain expected them to see.
I also live in a foreign country and have an English surname which is one letter different from a surname here. 99% of people get my surname wrong because they just don't see the different letter, because they're not expecting to see it. It's a total pain in the bum.
As for misspelled Christian names, a friend of mine misspelled two of her children's names. I don't think they were meant to be "youneeq", I think she just misspelled them. When I ask after her children in a text I spell their names the way she spells them, out of politeness. But it makes me cringe. I would never say anything but it still makes me cringe.