Sadly the Hulda Clark method, at least her first printed method, works for all, all the time. There can be problems and normally it is just the lack of follwoing instructions. First of all, you chose to alter the times and chose to do ti your way. I am not against this, but until your well experinced, please always stick with the proven methods.
My bet is you ignored many of the rules, the only way yo help you is for you to list every thing you did to prepare for your first liver flush, then i can tell you where and when you took wrong turns.
There are reasons for your throwing up, I have seen this many times and there is always a reason. "IF" you do ti right, there is nothing to it, it is a $2 method that is the cheapest life saving method I know of!