Okay wait, so you're in Year 10? Therefore you start Year 11 in September 2023, and you would be due to start sixth form in September 2024?
First of all, why in the world are you taking 9 subjects as a home educated student? That's a totally unnecessary number of subjects. What exactly are you wanting to do at university? In many instances 5 subjects is enough to satisfy both sixth forms and unis, but even if you wanted to go into something like medicine, or if you were applying to a really competitive sixth form, you would be highly unlikely to need more than 7. Drop some of them.
Secondly, why don't you take some this November (November 2023), and then take the rest in summer 2024?
I highly doubt any sixth forms would take you for a January start. You either want to be starting in September 2024, or if push comes to shove you could theoretically start in September 2025, but be aware you'd be starting a year "late", so although the funding would be in place, it really would be at the discretion of the sixth form in question.
Now if you were going for BTECs in a college, starting a year late isn't a problem at all, but sixth forms are more picky.