Such teas are fine. In any case, most cases of food poisoning are cured by the body's own immune system.
There are many types of food poisoning; but the two main ones,and the most dangerous, are Salmonella and E. Coli. Both will cause diarroea; but if that is accompanied by vomiting, then you need professional medical treatment. The main thing is to drink plenty of water, so that you do not become dehydrated.
All poultry should be thoroughly cooked, and the preparation surfaces thoroughly cleaned. All raw poultry carries the bacteria Campylobacter, as does Pork, one of the main causes of food poisoning.
British National Health Service.