Will you invite a relative that has been abandoned due to being LGBT to stay in your house?

Seeing the number of child abandonment due to being a member of LGBTstill exist in the society makes me wonder how the collective here would think/act in the given situation.

Suppose one of your relative’s family has found out that their kid has different sexual orientation and after some heated argument decided to kick the kid out of the house, not wanting anything to do with the kid anymore. You happened to know this from word-of-mouth and you were not near the place where the incident took place.

The next day, while you’re driving/walking around the block you happened to saw this kid. He/she just sitting on a bench near a bus stop with a suitcase next to him/her, seems to be lost in thought and waiting for the bus that he/she never actually get in to. What will you do in this situation? Will you invite this kid to live in your house? (Will it depends on how close your relationship is with the kid?) Or will you be hoping and feel secure on the idea that the kid will eventually get in to the bus that will take him/her to other relatives that will take care of him/her better than you could? In case you choose to let it pass and the kid happened to arrive outside your house and waiting, what will you do?

Suppose you also called the parents to solve this issue peacefully but you found that they have dead set on not accepting their kid anymore. “If you want this kid, go ahead and take him/her. He/she is your problem now” was what you got from the parents.
You know this kid is 16 or 17 years old, not a minor anymore in the State where he/she live, and can be legally abandoned by their parents so no legal action can be made against the parents. Also, by helping the kid you know you’re also risking straining your relationship with the parents (whose previously might be on good terms with you) for plainly going against their belief.
Will you still take in the kid? Will you eventually think this kid is going to be your liability? Where will he/she sleep in your house if all rooms have been occupied?