i agree with lighting trends on the peach ,here are a couple of palettes to choose from note your lighting will accentuate the mood and can give the hue you want , but definitely go for a neutral , the colours are from sherwin williams, benjamin moore , behr , and kelly moore

great . will do that . I have always seen it with square tiles , not with rectangular tiles . .

A good tile installer that knows what he is doing, can easily remove that single piece of tile.... carefully replace it with another one. Do you have another extra pieces of the same tile? Do you know what brand and color the existing grout is? That will be more of the issue trying to get the grout match to match up or the finding the same tile (in the same dye lot) if you need to buy another tile. Did the heat cause the break or did a pan bang into the glass? Consider installing a heat resistant Lumicor or 3 Form panel behind the stove. Any flat material that can be sandwiched between two resin panels. 1). Crushed glass. 2). Fabric. 3). Fabric. 4). Fabric.

Bet your farmhouse kitchen is cheerful and delightful! I'm curious what colors you have in the adjacent living room. Are there any fabrics or unique accent items you'd like to have more attention? Feel free to bring a pillow or quilt or pottery piece from the living room to your yellow tile to get a feel for what color might capture your heart. Will it be a mellow, blend-in kind of look? Or something that adds a "pop" to your rooms? Cant wait to hear your discoveries!