Stomach flu, should I eat?

So I either have the stomach flu or food poisoning. My head hurts and I am dizzy when I stand up. I have been drinking small sips of water all day because I can’t keep down bigger gulps. I am terrified to eat because I am afraid it will just come right back up. The thought of food makes me cringe. It’s 5:40 pm and I haven’t eaten anything all day. Should I eat something? I am sucking on ice cubes and drinking water, but that’s it. Thanks.

Also, if you think I should eat, what should I eat? I don’t want anything that is too harsh on my stomach. Thanks.