From the look of things, however, Kara will be in far more danger under this upcoming red sun than she ever was on Krypton or at CatCo.
She even temporarily lost her superpowers after a showdown with Red Tornado in Season 1 and had to go about her daily life without the conveniences of her abilities.
Of course, Kara spent the first half of her life on Krypton under a red sun, so she knows how to get by without the powers of flight and super strength.