Tell emacs about (ssh-related) environment variables from your shell, via emacsclient.

functions.sh

emacsclient_set_env_vars () {
    for name in $@
    do
        emacsclient -e "(setenv \"$name\" \"$(eval echo \${${name}})\")"
    done
}

ssh-copy-ssh-vars-to-emacs () {
    emacsclient_set_env_vars $(env|grep SSH_|cut -f1 -d=)
}