The only thing that worries me is the food. I don’t want to get food poisoning.
【参考译文】我唯一担心的是食物，我可不想食物中毒。
【参考解析】你的问题中，get food poisoning 不是一个get 的复合结构，而是普通的get加名词短语。其中poisoning为一个名词，意思为【中毒】，food为其定语。
类似短语：gas / alcohol / chemical / mercury poisoning 煤气/ 酒精/ 化学/ 水银中毒
【更多例句】
Migraine? I thought you had food poisoning. 偏头痛?不是食物中毒吗?
I ate too much and had a day off work but I piled it on thick and told them I had food poisoning.我吃得太多了而一天没去上班，但我却言过其实地对他说我食物中毒了。
She got food poisoning on her trip to Turkey. 去土耳其的路上她食物中毒了。
This is a severe case of food poisoning. 这是一起严重的食物中毒事件。