Why is character not a valid member of player?

For some reason, my ModuleScript is erroring because of the player.

Server Script:

for i, player in pairs(game.Players:GetPlayers()) do
	table.insert(players, player)
	print(player.Name)
end

mainModule:StartPlayers(players)

And my module script code:

function module.StartPlayers(players)
	local spawnPoints = map:WaitForChild("SpawnPoints")
	local spawns = spawnPoints:GetChildren()
	
	wait(5)
	
	for i, player in pairs(players) do
		if player then
			
			character = player.Character
			
			if character then
				
				--Morph
				
				local chosenMorph = game.ServerStorage.Tornado
				
				for _, v in pairs(character:GetChildren()) do
					if v:IsA("BasePart") then
						v.Transparency = 1
					elseif v:IsA("Accessory") then
						v:Destroy()
					end
				end
				
				local clonedMorph = chosenMorph:Clone() --Creating morph
				clonedMorph.Parent = character
				clonedMorph.Name = player.Name.."_Tornado"
				
				local morphWeld = Instance.new("Weld")--Welding morph to player
				morphWeld.Parent = clonedMorph --Use tornado part or whatever here!
				morphWeld.Part1 = clonedMorph --Same here!
				morphWeld.Part0 = character:FindFirstChild("HumanoidRootPart")
				
				character.Humanoid.WalkSpeed = chosenMorph.Speed.Value
				character.Humanoid.JumpPower = 0
				
				--Teleport
				
				character:FindFirstChild("HumanoidRootPart").CFrame = spawns[1].CFrame + Vector3.new(0,12,0)
				table.remove(spawns, 1)
			end
		end
	end
end

It errors at character = player.Character Error: "Character is not a valid member of Model"

Oddly enough, making it character = workspace:FindFirstChild(player.Name) fixes that error, but then it errors at 'character.Humanoid.WalkSpeed = chosenMorph.Speed.Value' saying that "Humanoid is not a valid member of Model"

How do I fix this? Also, is there a way to have, sort of a global table for all of the players that any script can access? That would make coding easier.