Sorry to hear about your lovely phone.
Remove the battery right away and place it somewhere very warm* and dry with moving air. The sooner the power is removed, the better.
*Above 90 degrees. Check your manual for the temperature limits.
Many touch screen devices have an overlay that is replaceable separate from the expensive LCD screen. A reasonably adept tech person with the parts in hand and a disassembly guide may keep it out of the service centre.