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.

Mukti, From what you described, it seems you need a water softener than a hydrophobic coating. Salt based softeners are good for these issues.

You could go for tiles with design if they are simple ones. if you want plain, you can add some life in the country style with an exposed brick facade or subway tiles. for colours, it depends on how far out of your comfort zone you're willing to go. white is the safe choice, but you can go for blue, green, yellow, all pastel hues

Greetings from Dream Design, As per your inputs we suggest some ideas -Don't go with too dark backsplash as it will make the kitchen dull after some time and kitchen will look smaller -You can go with marble/tile or even the same counter top like quartz if you use in counter top you can same also put in backsplash as currently it's in trend -take white color with some black/grey lines marble or quartz -or you can go with white designer lines with grooving Sharing some reference pictures