I am not a parent, nor have I hunted Africa. I have, however, shot with and helped a lot of people. The classical mistake is to ask more experienced people what to do with less experienced/no experience people, regarding their firearm. This is to say, I have helped many women dump the terrible little mouse-guns that men in their lives previously convinced them would be best. One went from a tiny little pocket SIG to a 1911 (although I hate 1911's...). My point here, is that different people are differently sensitive to recoil...just like fighters. Some people can take a punch, some have a glass jaw. Some people have heavy hands, and some are just ineffective. All of these can be trained, but there is a very high level of natural inclination to them. Your wee child may giggle and smile at the bunch of a light .308. Or she may be like my friend's 8 year old who says his AR15 5.56 carbine "hurts his shoulder". There is no telling until you spend some time with the shooter and some various firearms.
Above all, the new shooter needs to be made to feel secure, un-judged, and FUN needs to be the over-all goal with only safety overshadowing it, while performance improvement should be the path "fun" takes. Older and more mature shooters I have found like shooting targets. They are very good for decedently Type A people who are not discouraged easily. Less resilient people seem to do well on steel, like 1/3 IPSC or plates. There, a marginal "hit" still is rewarded the same as a bulls-eye, and noone aims for the very edge of the target...they just aim for hits, and they get better while still being rewarded for mediocre performance. For the very youngest and immature (I say this developmentally, not that they are silly or anything, mainly, I mean children...and some adults, like me!) fruit, shaken soda cans, etc. are excellent targets.
If your daughter can bang away with that .30 cal at a shaken soda can and blow fizzy everywhere 10x out of 10 at 150 yards, then do you really need her to punch a little orange circle? Nah, she can hit that animal! Also, before anyone complains of the cost...cheap off-brand soda costs how much compared to ammo? And creating a happy, safe, new shooter is priceless!