You keep asking about particular cases involving hyphens. Learn the rules, and you can make your own decisions about them. The answer to this particular question of yours is obvious and not debatable.
Thanks. Could you help with another. In the below sentence, should 'merino wool' be hyphenated in your opinion? I haven't but just wanted to check.
Every now and again she’d wipe the tears away with the sleeve of her grey merino wool cardigan, which turned the fabric into a dampened shade of black.