Do I have to accept a store credit if the store refund policy states that no cash refunds will be issued?

There is no law that requires a merchant to refund money, and refunds may be restricted to store refund policies, unless the product you purchased not "fit for the purpose of which it was intended." Not liking a style, color, type, or anything else about the item you purchased is not the fault of the merchant and the merchant generally can't be held responsible.

When stores refund money, it is usually a store policy to do so, borne out of the desire to create and keep "good will" in the community - - but, that's a "store policy" and not a law.

So, your "next move" is to wait until the store does, in fact, obtain merchandise to your liking. If they don't have a policy of returning customer money, then you'll have to live with that fact.

When making large purchases, particularly for items such as furniture which may be difficult to judge until you have brought the items home, it is always best to check into a store's refund policy before making the purchase. Otherwise, you may be stuck with an item you don't want or with a store credit you can't use.