romantic, tender, charming
旖 centers on a soft, alluring quality: something romantic, tender, or charming in a gentle, graceful way.
旖 combines 方 (flag) with 奇, which likely contributes the sound. The character originally referred to a fluttering flag, with the romantic or charming sense developing from the graceful movement of a banner.
A flag (方) with a strange (奇) beauty flutters gently in the breeze, creating a romantic and charming scene.
For イ, imagine a tender scene so charming it makes you say 'Eee!' (イ) in delight, like seeing a graceful flag waving.