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As of the latest guidelines, it is not advised to administer any COVID vaccine to people suffering from prior drug allergy or food allergy. Since you have a history of food allergy, it is possible to get a reaction to the COVID vaccine (rare possibility, still). This is just a possibility since you have multiple allergy triggers. We are concerned about the possible immediate severe allergic reaction like anaphylaxis. And moreover, when you visit a vaccine booth, they will surely be asking if you have any allergy history so that they can cancel your vaccination schedule.
So, it is better to continue with personal protective measures. I hope I am clear. If you have any doubt, you can message me back.
By the way, Covishield should be a better choice for anyone than Covaxin as per recommendations.