Blister packs can’t be recycled at home – put them in your General Waste bin.
Alternatively, you may be able to recycle your medicine packaging at a local pharmacy. Superdrug Pharmacies offer a route for recycling, such as this blister pack take-back scheme. If you don’t have a Superdrug nearby, it’s worth checking with your local pharmacy, such as Lloyds, or your nearest hospital to see if they provide a take-back recycling service.