What to do after burning hand on frying pan handle?

Red only ok: First degree burns can be managed with pure vaseline massaged often. Advil (ibuprofen) for pain and inflammation is fine. Burn center for more serious injury.

Simple Treatment: Burns are the response of the tissues to injury from heat. It is simply inflammation which means increase blood flow to the area to promote healing. Depth determines care. Do not use ice worsens already injured skin. Cool water soaks help as can taking anti-inflammation medicines like Motrin or advil (ibuprofen). Avoid any further damage as this can cause scarring good skin cream applied daily/gently helps.

Use ice: The thing to do for any burn, immediately, is to grab a pack of frozen vegetables or an ice pack or ice in a baggie and apply it for 15 minutes to the burned area. This will reduce the pain, limit the spread of the burn, and be of great relief. If you did not do these, or applied oil or butter (useless!), then you will have a painful area to deal with. Protect it , keep it clean and wait.