There is a million reasons that your cat could be vomiting. I would have to ask does she vomit her food undigested? If she is vomiting right away after eating. She may not be actually vomiting she may be regurgitating. Cats may regurgitate if they have a condition called megaesophagus meaning that your cat has an enlarged esophagus and is unable to swallow food correctly. I doubt that is the case because she only vomits once a week. but based on the info in your question it seems that your cat eating behavior is the major reason for her vomiting. If you cats vomiting gets worse there are other diagnostic test that can be performed to find out if their is a medical reason. Again the medical reasons can be endless. My advice is as long as you cat is only vomiting once a week then she should be okay if not and you really want an answer you have an option of taking your cat to a Board certified Internal Medicine Veterinarian they have more experience then your current veterinarian. And they may have better suggestions for you. Hope that helps
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