Exactly one week after getting the MMR vaccine, my child ran a fever and had a rash that resembled small bumps on his chest. It lasted about 2 days. 5 days, plus throwing up seems like a pretty severe reaction, if that's what it is. I would take her back to the doctor.
Also, since she doesn't tolerate ibuprofen, please stop giving that right away, and just stick with tylenol. If she is really allergic to ibuprofen (and some people are, I am), then you could be making things worse by giving it to her. Tylenol should be able to handle the fever and maybe she'll stop throwing up if you stop the ibuprofen.
And, as a look into the future - since my child reacted to the 1st MMR vaccine, instead of getting a booster at age 3, I had a blood test done to see if he needed the booster. It turned out that he had really good immunity from the 1st MMR vaccine and he did not need a booster so we did not need to give it.