Suppose two processes A and B may send data to the same TCP socket. Is it a good idea to have a process C dedicated to synchronizing sends to the socket?

Erlang code for process C:

-module('socket-sender').

-export([start_sender/1, sender/1]).

start_sender(Socket) ->
  spawn('socket-sender', sender, [Socket]).

sender(Socket) ->
  receive
    {From, Data} ->
      Result = case gen_tcp:send(Socket, Data) of
        ok -> ok;
        {error, Reason} -> disconnected
      end,
      From ! Result,
      sender(Socket)
  end.

When process A or B wants to send data to the TCP socket, it will send {self(), Data} to the sender process C, and wait for response. If C responds with ok, then things are good; if C responds with disconnected, process A or B will terminate itself.

But there is one issue with the above sender code: how would the sender process terminate?