An anime with a female main character with a spiral on her forehead
Could it be Earth Maiden Arjuna (2001)? I have never seen it, but it seems to deal with Earth, so there could be a "universe" theme. There is a modern setting. There is a female protagonist, and the title is based on the her name, Ariyoshi Juna. She has a magatama on her forehead which I think could be mistaken for a spiral.



She also has a superhero form, if that is familiar.



Synopsis from AnimeNfo:


  When Ariyoshi Juna has a bad accident, her spirit turns to light and rises up out of her body into the night sky where she gets a glimpse of Earth a few months in the future. What she sees is the Earth on the brink of total destruction, ruled by the merciless demon forces called the Raajas. Then Chris Hawken hands Juna a power stone and tells her to use it to save the Earth. The power stone gives her the ability to call up an aura suit, that activates and enhances a person's dormant special powers.