Verified answer

It sounds great. I'd maybe just take a few words out to make it flow a little better and maybe say "you" instead of "her" (just my opinions, I know poems are a very personal thing) Here are my brief editing suggestions:

Your smile's the warmest, eyes deeper than time,

you're hot like a furnace, I blush redder than wine

I'm not here to play games or confuse you with lines,

I just want to explain how I'm feeling inside

"You may want to add some more lines here telling her how great she is and talking more about what specifically you're feeling inside"

Some do this in person, some over the phone,

but I'll mix it up and ask you with a poem.

I feel kind of bad that my poem will come short,

cuz my pen can't explain what my heart knows your worth.

But by now my intentions are quite clear to see,

and so I must know what your answer will be.

______ will you go to prom with me?

Good luck buddy. Props for having the balls to put yourself out there and being creative with your invite.