"suck it up" does seem a bit harsh, but I have to agree with the idea. This is like the "I want extra test time because of ADHD or any other I want special treatment idea." The OP wants a special concession (A transfer) for an invalid reason (homesickness). It is not like the OP has a spouse and two kids in another city.
Medical School is hard. It is supposed to be hard. If it were easy, everyone would do it, and it wouldn't pay as well. everyone looks at this from one side. Lets think of the patient. This is an issue of a reaction, not a feeling. The fact that the initial reaction to a stressor that the OP has is to run away is concerning.
If this thread were: "I feel homesick, how did you guys deal with it?" I would understand and empathize. The OP wants to run, and shirk the responsibility that she chose (Taking the opportunity from someone else in the process who wanted the spot in her school that she is occupying). The reaction of "suck it up" is for the future patient. If the OP makes it through this without quitting, she will mature, making her better prepared to deal with hardship, which is what most doctors do every day.