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.

I would recommend a soft gray...see photo below...

actually, to brighten up this dark and small feeling space, i'd look for a creamy base colored stone like khasmir gold or ivory gold, being sure to add an overhang on the island (if you like movement in the stone check out juprana granite) then exchange the pot rack over the island with either a pair of great pendants or a statement chandelier. from my own kitchen remodel experience i'll share you with you this: you'll get a much better price from a granite company then you will from a large home store ;) and be sure to take a cabinet door with you to shop. you can continue the granite onto the wall as a backsplash...they can cut the stone and make it go higher up the wall than the standard 3 inches which can be a great look. but if you really want tile, go for something simple that won't compete with the granite....like a cream colored subway tile. you can apply thim in a running brick pattern or a more modern stacked geometric pattern or even a herringbone. to control staining from food prep, don't use a white grout, use a slightly darker grout color that is inspired from the stone countertop. just remember that using a pattern on the countertop and another pattern on the backsplash can easily become overwhelming and then neither element stands out as the focal point. if you are spending a lot on a granite countertop, do everything you can to make it stand out as the best feature.

If you love the marble tile, go for it! You can always buy a stainless or white range hood backsplash like this http://www.wayfair.com/Air-King-Range-Hood-Back-Splash-SP2430-AXK1174.html to slip in place when you are cooking something really messy. I have a travertine backsplash and use a stainless sheet when frying. It works great and no worries about stains ruining the stone.