As an addition:
As Tez mentioned you can raise her fert with chasterberries. These increase the fertility 10% per berry used (you can use multiple). The effect of chasterberries will only stay until she gets pregnant though so you will have to use them every time you want to breed her.
If you want to raise her fertility permanently you can use a vuka vuka (should be available in the oasis). A Vuka vuka will let you choose her fertility level (exept for godess level).
The mutation chance is the highest at 1% fertility.
You can use Hyena meat to get that fertility. Remember though that at 1%fertility it's incredibly annoying to get her pregnant and sadly using chasterberries on a 1% lionesses cancels the boost ,so for that an angelic blessing would be recommended (Although I personally think that's rather expensive for a regular lioness).
I also have to emphasise that the mutie boost at 1% is certainly higher than in other fert levels BUT it's still very minimal compared to breeding items like GMO Cows, lion meat etc.

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You need to use chasteberries to raise up her fertility :)) you can get em from the snake :))

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