I used to be a doctor's receptionist! I do so hope I didn't fall into the horrible old women category that most doctor surgery seem to have. You are asked what the problem is so they can triage you and see you if it is more urgent then someone with a cold or something minor.
My advice rather then going in and causing holy hell would be to just make your issue seem worse then it is, make it urgent, it harder to refuse you then. If they still do crying seems to work as a receptionist won't send you away crying but can't have a crying patient in reception not being dealt with.
Or you could show her your hand (by the sounds of it it isn't looking too pretty) I know if I saw something gross I would bend over backwards to get it out of my sight. (sorry no offence meant)
If someone came in shouting or angry at me I felt less inclined to help them.
I hope this helps and you can get seen by your doctor