Why is my Etsy listing active but not showing in Etsy search?

Active only means the listing is available for sale; it doesn't guarantee it will show prominently for every Etsy search. Start in Shop Manager > Listings and check the Search Visibility page for the exact issue Etsy flags. Etsy says keyword relevance and shopper filters affect placement, and it specifically calls out clear high-res product photos, the most specific category, a return policy, a complete shop, and customer-service performance as things that can affect visibility. Also make sure the listing is actually in stock and hasn't been deactivated, expired, or removed — Etsy says policy removals are emailed to the seller. If you make a fix, give it up to a day to show in search. I'd change the specific thing Search Visibility points to instead of rewriting the whole listing at once.