My 3‑year‑old indoor cat just ate about two ounces of plain cooked chicken with no skin or bones, is that safe for her?

Yes, plain, boneless, skinless cooked chicken is safe for your cat. It provides a lean source of protein and is fine in small amounts. Make sure it has no seasoning, sauce, or bones, because those can cause irritation or blockage. Offer it plain, watch for any vomiting or diarrhea, and contact your vet if anything seems off.