all alone, without any family, worry
煢 centers on the state of being utterly alone and without family support, which naturally brings worry and distress.
煢 is a rare character whose exact historical development is uncertain. It likely combines 火 (fire) with a phonetic element, but the component relationships are not well established.
The top 火 and 冖 suggest a fire under a roof, but the lower 卂 looks like a lone figure. Picture a single person sitting by a small fire in an empty house, completely alone and worried.
For ケイ, imagine a lone person named Kay sitting by the fire, worrying: Kay -> ケイ, and her solitude matches the kanji's meaning.