You poor poor thing. Yuk.
Mother nature has had to deal with this exact problem for thousands of years. Eventually your supply may be affected but it may not be for a while yet. Carry on drinking as you may be keeping some down. Keep nursing and pay close attention to your LO's cues and wet nappies. I would say however that if another 24 hours go by you should think about contacting your doctor or if you suddenly feel a lot worse. Dehydration can be dangerous for you as well as your milk supply. Try and drink one of those rehydrating solutions. They taste gross but they do help you retain the fluid. I would say don't use any milk supplements at this stage as this will only decrease your supply further.
Is there someone who can be with you?