I don't have my appendix or my gallbladder and I'm having constant pain on my right side of my stomach nausea and vomiting after eating?

Gastritis/PUD. You may have gastritis, gastric ulcer, GERD or PUD. The other possibilities are biliary colic (inflammation or stones in common bile duct) & pancreatic abnormalities. Tips: try less spicy food, small meals multiple times a day,avoid nicotine, chocolate. Also try OTC anti-acids such as tums, (calcium carbonate) Maalox, peptide or other H2 blocker; & Omeprazole or other PPIs. No improvement see your PCP for evaluation.
Needs thorough eval. These symptoms could be coming from a stomach upset or serious problems. Best advice: see your doctor.