Introducing a Kitten to Resident Cat?

I've been a cat lover since forever. I went to a lovely breeder for a Somali cat, she is 6 months old. Not everyone has heard of a Somali cat but they are beautiful, very loving, and very much demanding of your attention and are incredibly social (with humans.) All was going very well with her until I bought an 11 week old male kitten because I didn't want my Somali to be on her own for 10 hours a day. Unfortunately I've made 2 mistakes which I realise now.

1. The kitten is too small to be left alone with a older cat (he has already had a fever and a limp. I don't know if this was my Somali who did this or not).
2. I stupidly put them together straight away.
Obviously I want to accept responsibility for them both and I don't want to simply rehome the kitten. In a few days time my Somali will be being spayed. Hopefully this will help their situation, but the kitten constantly jumps on my Somali and nips/does something to her and this has therefore led to my Somali to wanting to chase, pin down, and kick (quite hard) him back. I know being a cat lover that my Somali has to teach the kitten lessons, but I don't want it to end up in injury. They eat together, play in the same room if I and my other half play with each of them, but if they aren't distracted for a second they go after each other. Any suggestions or an I doomed with 2 cats who won't ever get on? Ps I've only had the kitten for just over 2 weeks and I know it will take time.

By Coll42