This sucks that this happened to you and I'm sorry it did.
I don't have a vagina so I'm not sure how helpful I can be, or how harmful my suggestions might be if tried. I don't know if this is suggested yet, but try using a lubricant (just to specify, I mean lubrication for sex, not just any lotion) and maybe tweezers or some tool of the sort might help you remove it without as much pain/discomfort. Or, if you have a boyfriend or girlfriend, or anybody else you're comfortable with, they might be in a better position to try to remove it and they're probably more likely to see it if it's not too far in.
I can understand the danger, and the embarrassment, of having this done by a doctor, but it would be a lot worse to wait long enough for it to cause an infection (if it hasn't already) or for the bag to loosen enough for some or all of the dope to fall out. That wouldn't be good.
Be safe, and good luck to ya.