I’m sitting here on the cheap floor of my apartment, my back against the cold metal of the fridge. I’ve been here since I removed the gun from its hiding place. I should feel afraid, but I don’t.
The misspelled shoudl is almost certainly just a typo. It’s is a contraction of it is, not the possessive form of it. The third sentence is compound and requires a comma.
Although not necessary in a mere writing prompt, I’d prefer some detail about the floor. Is it cheap carpet, or cheap linoleum? If it’s not worth mentioning what the floor is covered with, why even mention that it’s cheap? Or why not use some other description, like dirty or creaking or bare?