Ditto on the Downtown
Disney store, which is a location of The Spice & Tea Exchange. You can also check their web site.
I'm a bit of a tea snob, and even that doesn't meet my standards. I order from Upton Teas, which carries a large variety of single estate teas from around the world, along with blends, flavored, and herbal teas.
But what is the goal here? Is it to get fine tea? I'd start with a sampler from Upton, maybe British Blend if you want that level, or Assam if you want to look at single estate teas. Or try some Darjeeling, if you want tea with a different taste. These are loose-leaf tea, so they'll require something that serves as a strainer.
Or is it to get tea that says it's from England? Supermarkets in my area carry Twinings. It's easy to find. Much better than Lipton, but hardly the best.
Or is it to get a tea-related souvenir from the UK? Upton carries bone china Chatsford tea pots made in England (not to be confused with their porcelain Chatsford, made in Korea), but there's nothing particularly special about the look of these pots. I'd expect the Downtown Disney tea store to have more of a selection, but probably not much from the UK. For a tea-related English accessory, I'd definitely see if they still do shopping passes for Epcot.