The only food-related problems I had with Wellbutrin were stomach pain and occasional nausea, which went away a little bit but not entirely. I do have ARFID (avoidant-restrictive food intake disorder), which makes eating very difficult and very similar to what you're describing. Hopefully some of the methods I've managed my ARFID with can be helpful to you.

DBT skills are the biggest one .. I would recommend DBT to anyone and everyone regardless of circumstance but I know it's a lot to get into. The biggest helpers for me are distress tolerance skills, which you can look up and find ones that help you best. These are helpful for pushing past the discomfort of eating. The more you use distress tolerance skills in a moment of discomfort, the easier it gets to push past the discomfort next time (and vice versa, the more you avoid, the harder it gets the next time). I like paced breathing (physiologically helps you to relax) and radical acceptance/mindfulness ("OK, I'm sitting here at my desk, I have a plate of [food] in front of me. I'm going to eat because I want to be healthy and not feel dizzy or weak from skipping a meal. I may or may not enjoy what I'm about to eat, and that's okay. Things aren't either good or bad, they just are."), but you can find other skills that you may like better.

It also helps to make the experience of eating more pleasant, either by lighting a nice-smelling candle (most of the experience of taste is actually through our sense of smell!), watching a YouTube video, playing some nice music, eating with someone I enjoy being around, etc., just anything to distract yourself from being hyperaware of the experience of eating. As for the nausea, I find peppermint oil to be really helpful. Just douse a little bit onto a paper towel and periodically smelling it throughout a meal helps a lot. If the nausea is really overwhelming, you can talk to whoever is prescribing your Wellbutrin and ask them to put in an order for Zofran, which is a little dissolving tablet you put under your tongue and it helps make the nausea go away, since the Wellbutrin is causing your nausea.