princess
姫 centers on a noblewoman of high rank: a princess. The meaning is straightforward and does not branch into unrelated senses.
姫 combines 女 (woman) with 臣 (retainer/minister), suggesting a woman of high status served by retainers. The exact historical development is uncertain, but the component combination is well established.
A woman 女 with a retainer 臣 beside her: picture a princess attended by her loyal minister.
For キ, imagine a princess holding a giant key to her castle: key -> キ, and the key unlocks her royal chambers.
young lady of noble birth; princess (esp. in Western contexts, tales, etc.)
princess
Snow White
songstress; diva
daughter of a person of high rank (esp. eldest daughter)
woman textile worker
beautiful maiden; beauty
female dancer; dancing girl; danseuse
younger princess
princess
Sleeping Beauty; Thorn Princess; Briar Rose
carrying (someone) in one's arms; princess carry; bridal carry
Princess Mononoke (1997 animated film)
sole girl in a group of geeks
olivaceous piculet (species of bird, Picumnus olivaceus)
Princess Peach (Nintendo character)
European shag (Phalacrocorax aristotelis); common shag; shag
it's good to have a girl first and then a boy
the three princesses; three kabuki roles regarded as some of the hardest to perform
banded coral shrimp (Stenopus hispidus); coral banded shrimp; banded boxer shrimp