You have strong legal protections in this situation. Article 14 of Kuwait's Consumer Protection Law (Law No. 39 of 2014) clearly obligates the supplier to return the product's value, exchange it, or repair it free of charge if a defect is discovered or if the product does not meet the agreed specifications or intended purpose. The store cannot legally refuse this obligation.
Additionally, Article 11 states that any contractual clause — including fine print on a receipt or store policy — that attempts to exempt a supplier from these obligations or reduce your rights as a consumer is legally void and unenforceable. So even if the store points to a 'no refund' sign or policy, that policy cannot override your statutory rights.
If the store continues to refuse, you can file a formal complaint with the National Consumer Protection Committee at the Ministry of Commerce and Industry. The Committee's technical secretariat staff have judicial authority (Article 7) to investigate such cases. Keep your original receipt (required under Article 15 to be issued in Arabic), photos of the defect, and any written communication with the store as evidence.
This is general legal information, not legal advice. For advice on your specific situation, consult a lawyer licensed in Kuwait.