The ER sees this all the time. This is their job. Please don't be embarrassed. I am a RN and see things all the time. It is life, it's ok. Just get this fixed so you don't cause any more harm internally. Just want you to be ok. Wishing you the best!
My relative, a paramedic, once went on an emergency call for a guy who had a carrot up his bottom. You won't look as foolish as you think. Get medical help.
I don't know about home remedies but don't wait too long on it, it will only make it worse (and could seriously injure your bowels). Make sure it get's out one way or another before the end of the day. As embarrassing as it will be for you, remember there is pretty much nothing they haven't seen at the ER. And your pride isn't worth the health risk.