Perhaps a sunroom may be a better word in this case, in the U.K. a conservatory is a recreational room with large amounts of glass built to face the sun. So one

Perhaps a sunroom may be a better word in this case, in the U.K. a conservatory is a recreational room with large amounts of glass built to face the sun. So one can enjoy the sun and brightness of a sunny day without having to go outside if it’s not warm, or too windy. Frequently they’ll open onto a patio or other paved outdoor space and from there into the garden proper.