Go for it, and she doesn't need snow pants and a face mask. A helmet is also kind of overkill, but if it makes you feel better... Gymnasts instinctively tuck and roll for backwards falls, and she's not going to go flying sideways while puttering around the rink. Gloves are good to have, and gel or super thin (not volleyball) kneepads are also nice.
Also remember that skates size down from sneakers, and they fit like gloves, not like sneakers.
Also remember that skates size down from sneakers, and they fit like gloves, not like sneakers.