Jordis the Sword Maiden is my new companion after spending the first 40 levels exploring with Lydia, getting into fights, watching her take a knee, waiting for her to catch her breath, take a few swings, rinse and repeat.
After a few missions in Solitude, Jordis and I became partners (and Lydia took the long walk home). While working on my smithing and enchantment skills, I made her a delightful ebony bow with a swell fire enchantment. Sadly, she has completely snubbed my efforts. For some reason, she really prefers her clunky old log of a bow.
Can I convince Jordis to at least try the new bow? It's really quite nice. Besides, it matches her new outfit...