According to a recent Reddit and Twitter post, it would seem as though Nordstrom Rack has begun to accept Apple Pay in their stores.
In a tweet made by the Nordstrom Rack Twitter account in response to a customer inquiry, their tweet does say that Nordstrom Rack stores are currently accepting Apple Pay now.
Hi there! I'm excited to share that we do accept Apple Pay. If you'd like to trouble shoot this issue please send us a DM and we'll be happy to help. -Jacqs
— Nordstrom Rack (@nordstromrack) July 24, 2019
Some stores listed in Apple Maps have also begun to show that they are accepting Apple Pay too. Regular Nordstrom stores have been said to have Apple Pay acceptance too.
It should be noted too that the Nordstrom Rack iOS app does allow for purchases to be made with Apple Pay too. The official Nordstrom app does not accept it, though.