Bile can mean other things other than a blocked bowel such as food poisoning, virus, parasite, lots of things and all treatable. I would definitely consider seriously going to the doctor, especially if vomiting more than 24 hrs.

The concern is of dehydration more than anything which can be really harmful if you cannot keep any liquids down, let alone foods. Popsicles and ice chips can help meanwhile to try to get some hydration. Please see someone and I do hope you feel better real soon!!