I need to cut just on piece of ceramic tile. The 12" tungsten carbide wire saw blade said it can cut tile. I hope I do not have buy an expensive
Machine just to cut one tile.

Any tool rental centre will have good tile saws for a 4 hour rate. You might be able to talk them into a cheaper/ shorter time too. My local Home depot will let you use one they have set up in store... I think there may be a nominal charge.

You can use a wire saw, but it will be hard to get a straight line. Depending on the kind of tile, you may be able to use a tile cutter to score the tile and then break it.