I threw my dirty gloves onto the hospital bed
Was the patient upset that you threw the gloves?
She's got cancer. What does she care about dirty gloves?
You should be more careful with your things after you use them. If you throw them they will get dirt everywhere and then you will have to clean after yourselve.
Who cares? Most people in the hospital are going to die. A little dirt won't hurt.
It's not true most of them will die. You don't know everyone's situation and even if they were to die, they deserve respect and clean care.