Can you tell me what it's like to sprain your wrist?

A simple splint. From over the counter may be useful still. However the term sprain has many meanings, and is used to mean "negative" xrays by many but there can be a fracture not seen, a ligament injury, tendonitis, joint pain, carticlage tears, tendon injury and a whole lot of things thrown into the non fracture "sprain " category so if you are not better...... Get seen soon.