How to make a part dissapear for ONLY the player touching it?

I am trying to make a GUI pop up after touching a part, the part will then be removed after being touched. The problem is that the part removes for all players after being touched by only one. How would I make this part only remove for the person touching it?

Use a LocalScript, that way it only works for one client.

local Part = nil -- change to part location
local Players = game:GetService('Players')

local UI = nil -- change this to UI location

function onTouched(Hit)
	local Player = Players:GetPlayerFromCharacter(Hit.Parent)
	if Player then
		local newUI = UI:Clone()
		newUI.Parent = Player.PlayerGui
		Part:Destroy()
	end
end)

part.Touched:Connect(onTouched)