Here's why:
* Red-Headed Protagonist with a Wooden Sword: The main protagonist, Maka Albarn, is a red-headed girl who wields a wooden scythe (which functions as a sword) named Soul Eater.
* Alien Friend Who Looks Like a Girl: Soul Eater, Maka's weapon partner, is a soul that takes the form of a handsome young man.
* Super Strong Parasole: While Soul Eater doesn't use a parasol, a powerful character in the series named Death the Kid utilizes two guns that transform into parasols for combat, and these parasols are incredibly strong.
Let me know if this is the anime you were looking for!