Honestly, I think it would be a useful life lesson for the 9 year old. I know you don't want to disappoint her but there are good reasons why you are cutting back.
We've discussed with our two how, at the moment, everything is a lot more expensive because well, lots of reasons. They've already seen some stuff on Newsround. So this year, they get to pick things they really, really want- (rather than stuff I think they will like.) So far, youngest has asked for air dry clay and a jewellery box with a cat on it. Oldest has asked for a 'proper' piece of jewellery she can keep rather than fashion jewellery. I've been picking up stuff in Tiger and TKMax for the stocking (pens, scrunchies etc).
But, we have been making jam together, so we can 'put it up for Christmas.' I've bought a garland kit and I've started sewing them one each.
Daddy is having one bigger present this year, which they helped me choose (a kitbag in the sale) and Mummy has asked Father Christmas for a certain pair of slippers because they help her sore feet.
2 years ago, heating oil was 26p a litre. Now it is 96p a litre. To heat our home this year, we are all going to have to economise. As lots of people have said, you can make it special in other ways. My youngest has a special tiger toy- so last year, I knitted it a special blanket. She loved it and it always 'sleeps' tucked under its blanket.