Can someone cease and desist an app design and name I made years ago if they trademarked my EXACT name and company idea?

It depends on your prior use of the product and the market (industry & location) you find yourself in. Honestly, you should talk to a trademark attorney as soon as you can. Feel free to visit LawTrades. We’ve helped numerous entrepreneurs stuck in your position by connecting them with top trademark attorneys to figure out how to claim what’s theirs. Our legal platform offers free initial consultations and affordable flat-fee pricing. Hope this helps.