OK, I'm not trying to be misleading here, but this – like most things – is complicated. Chile, with an E, is what we call a hot pepper. That's the only definition for that spelling. However, chile is an alternate spelling of chili, with an I, which can mean the same thing. But chili with an I is also what we call the meat/beans meal often made with chiles. Make sense? To sum up:
Chile always means pepper.
The meal is always spelled chili.
Chili can also mean pepper. (That's why I decorated the bowl with chilis in the pic.)
Chilly, y'know, just means cold.
And Chile is a country in South America, which I'm not including here because I don't do proper nouns, and half the people I know pronounce it CHEE-lay anyway.