It comes off as a bit pretentious, yet cutesy to me. With this spelling, I'd say you should use the French pronunciation, but that's when it sounds pretentious and cutesy. And the name reminds me of Cherie Blair. I'd like to think of someone more respectable when hearing a name. I find the name annoying anyway.
This is a French word. Chéri (male)/chérie (female) means "darling/honey/love" and is used as a term of affection only. Not as a name. I hope if you name your child this she'll never go to France on a student exchange or something. People would make fun of her. This name sounds really uneducated and weird to someone who speaks French (like myself). Just wanted to let you know. It's pronounced shay-REE (kind of, a bit hard to describe) and the accent is on the first E. If you put it on the last (as I have seen people doing it) it would be pronounced shay-ree-AY which is just weird. It's Chérie, not Cherié! No matter how you spell it it's just weird and kind of embarrassing.
I don't like this variant of Sherry. This is because it happens to be the French word for "darling". People in France would find this woman's name to be amusing. It looks rather strange using a word in another language as a name.