NHS waiting lists. How long do we have to wait to get treatment?

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This might be an old grumble but what do you feel is an acceptable waiting time either to see a specialist or wait for an opperation. Iv just received some bad chemical burns to my hands which are not responding to treatment from my gp. He referred me to a skin specialist and after having to book my own appointment on receipt of a letter now have to wait TWO MONTHS to see someone.
But Im sure I am now not on a waiting list so statistically am being sorted out. I am in pain and discomfort,and p****d off! If my lawn mower broke down it would get much better treatment.
If the doctors lawn mower broke down he WOULD expect better treatment.
What is wrong with this country???