Hello Rebecca,
Immediately, I thought of a few shops at Epcot's World Showcase. First, the Tea Caddy the United Kingdom specializes in tea as well as accessories such as teapots and china. In Japan, the Mitsukoshi Department Store has a section of its store devoted to teapots and other dining items. The House of Good Fortune at China also may have teapots and china since it, too, offers different housewares for guests.
In addition, there is a newer store at Downtown Disney called
Marketplace Co-Op that is filled with a wonderful assortment of Disney themed furnishings, and it may have a teapot and/or china. I know when we last visited we picked up several pieces for our own home that I love dearly. Also at Downtown Disney is the Shop for Ireland that has housewares for sale and the Spice & Tea Exchange, which also features housewares. And finally, the World of Disney is a huge store that has many, many household goods for sale that might include a teapot.
I also wanted to mention
Disney's Grand Floridian Resort, which offers A
fternoon Tea at the Garden View Room, may also sell china and/or teapots at one of the nearby stores: Sandy Cove Gifts and Sundries and/or Summer Lace.
Please keep in mind that merchandise constantly is changing throughout Walt Disney World, too, so the stores may change what they are currently specializing in carrying. And don't forget to take advantage of
Package Pickup if you purchase a delicate teapot and don't want to carry it around with you.
Happy shopping!