I cannot say anything about doctors where you live since I have never been there. But I think if you are throwing up mucous and acid there is no time to lose. Get to the ER NOW! It sounds like you have DKA and need urgent treatment. Apart from feeling ill now, there is the distinct chance of long term damage to kidneys, heart, nerves etc, none of which is reverseable.
And of course there is no way of knowing when you will go into a coma. I used to get DKA badly (was once 25 minutes from death when I got to the hospital owing to some idiot who thought they knew better and insisted that I was so ill because I had been drinking alcohol!)
Turned out I was so high because of a chest infection. That time I was on ICU for 5 days before I got under control and I do not remember much about the first two days at all!
I wish you well.