After completing the lioness quest you must wait a few rollovers until you can get her quest again. But, their's no way to know whether you're ready or not. I want a little slot in the 'Personal Quests Cooldown' area that has the lioness quest on it saying how long her cooldown still is. If you have her it can say 'Active' and if you're able to obtain it, the slot can simply say 'Inactive' or 'Ready'

If not in the Personal Quest area perhaps keep the Lioness quest area (the thing that appears in the 'Quests and Snakes' area when she's active) but do something similar to Laharu's area and when their is a still image and some flavor text when she is on cooldown
Ie: 'The elderly lioness is not here right now. You can find her in explore (Now/in 1,2,3,ect. days)'