OP, I have one DC and for a while was a single parent living with just my lovely DS. I went to my mums for Christmas, but did consider spending it as just the two of us, and after traipsing for hours there and back I sort of wished that I had.
I am now married and have 'everyone' over every other year, with my SIL having 'everyone' over on the years inbetween. Everyone is 15 people, lots of whom star for several days.
It is utter chaos and despite a lot of planning and help from my lovely DH I do spend most of the day cooking and dashing about. I have little time for DS who is the youngest child on Christmas Day by far, and I wish I could spend more time with him.
I guess that I'm trying to say that just in case you wish it wasn't the two of you, maybe try to think that the loud enormous family christmasses advertised in the TV are not everyone's ideal, and bring their own challenges. Having time for your DD is precious indeed, and I'm sure you will have a wonderful day.
How about: a breakfast that you never usually have; light candles together; Christmas music in background; present opening (maybe save a couple for later if possible); include presents to / from pets if you have them; a treasure hunt; put Christmas jumpers on; go for a walk together; Christmas dinner; film; a couple of games together; a Christmassy bath time with lush bath bombs.
Maybe include some presents that you can enjoy doing together- Lego, craft, baking, jigsaw.
I second what others have said about prepping food in advance and cutting corners so that you aren't slaving in the kitchen.
Finally, once DD is in bed a treat for yourself- a bath, or a manicure, or a film.
Wishing you a lovely day with your DD.