Script doesn't work or I'm using tables wrongly?

A table is built out of indexes… each index is a value. in your table, the value is a string containing the name of the remote that is allowed, but the index is still a number… there are 2 options, either you use custom keys for your table, or you go through the table to compare the value in it to the name

OPTION 1

local table = {
			key1 = "string 1",
			key2 = 2,
			key3 = 10
	}


print(table["key1"])		-- prints: string 1
print(table[0])			-- also print: string 1

OPTION 2

local table = {
			"string1",
			2,
			10
	}


for index,value in pairs in ipairs(table) do
	if value == "string 1" then
		print(table[index])			-- will print: string 1, is the same as printing value
	end
end

to end this message, your updated script can be found below:

local RStorage = game:GetService("ReplicatedStorage")
local Found = false

local AllowedRemotes = {
	"RemoteEvent",
	"RemoteEvent1",
	"RemoteEvent2",
	"RemoteEvent3",
	"RemoteEvent4"
}

while wait() do
	for _,v in pairs(RStorage:GetDescendants()) do
		if v:IsA('RemoteEvent') then
			for index,value in ipairs(AllowedRemotes) do
				if v.Name == value then
					Found = true
				end
			end
			if Found == true then
				Found = false
			else
				v:Destroy()
				Found = false
			end
		end
	end
end