How do you make a hide player name script that only hides local players name?

i'm assuming that you're talking about the client hiding everyone else's names. To do this first we need to turn on FilteringEnabled, then we will create a localscript to run on the client.

Inside the localscript we will use a for loop to run through each player and hide their nametag

for _,v in pairs(game.Players:GetChildren()) do
    v.HealthDisplayDistance=0
    v.NameDisplayDistance=0
end

Next let's add this to your script. I'm going to combine where you call the script and where its ran

local hid = false 
script.Parent.MouseButton1Click:connect(function()
    if hid == false then 
        game.Players.LocalPlayer.HealthDisplayDistance = 0 game.Players.LocalPlayer.NameDisplayDistance = 0 
        script.Parent.Text = "Hide Name" 
        hid = true 
    elseif hid == true then 
        game.Players.LocalPlayer.HealthDisplayDistance = 100 game.Players.LocalPlayer.NameDisplayDistance = 100 
        script.Parent.Text = "Show Name" 
        hid = false 
    end 
end)

Let' change the part where it hides the nametags

local hid = false 
script.Parent.MouseButton1Click:connect(function()
    if hid == false then 
        for _,v in pairs(game.Players:GetChildren()) do
            v.HealthDisplayDistance=0
            v.NameDisplayDistance=0
        end 
        script.Parent.Text = "Hide Name" 
        hid = true 
    elseif hid == true then 
        for _,v in pairs(game.Players:GetChildren()) do
            v.HealthDisplayDistance=100
            v.NameDisplayDistance=100
        end 
        script.Parent.Text = "Show Name" 
        hid = false 
    end 
end)

So remember, make sure filteringenabled is one and this is a localscript

First of all, be sure to put your code in Code Block.

Secondly, you need to locate the player that is clicking this, not just a random one from the server. An easy way is doing "script.Parent..." all the way up until it gets to the Player.

Example:

hid = false function toggle()

if hid == false then
local Plyr = script.Parent.Parent.Parent.Parent.Parent --Add or Remove Parent to find the Player
Plyr.HealthDisplayDistance = 0 
Plyr.NameDisplayDistance = 0 
script.Parent.Text = "Hide Name" 
hid = true 

elseif hid == true then
local Plyr = script.Parent.Parent.Parent.Parent.Parent --Add or Remove Parent to find the Player
Plyr.HealthDisplayDistance = 100 
Plyr.NameDisplayDistance = 100 
script.Parent.Text = "Show Name" 
hid = false 

end 
end 

script.Parent.MouseButton1Click:connect(toggle)

Hope it worked.