Sorry you are having a rough time.
Like someone else said can you take the precious off of the 25th and do a more buffet style dinner the teens can graze on all day if they don't appreciate a big elaborate turkey roast (assuming that is part of the effort you say they don't appreciate)?
They might not outwardly show appreciation but perhaps they do take comfort at just being home with their mum and siblings on the day, they'd not the best communicators.
What is your mum's preferred Christmas? Does she actually want to see you Christmas day, I don't mean that horribly by the way! I mean she might appreciate a low key day on her own rather than the pressure of family all around her? My grandma who was a wonderful, kind, sociable lady who hosted many family lunches and special occasions, started to struggle a bit with this after the loss of my grandad, one year it just turned out everyone was going to be with someone else (grandkids grown up with children and in-laws) and although we absolutely would have rearranged to include her she was delighted to have the day to herself, all pressure off and no traveling for once. We saw her at various points over the following few days.
Maybe arrange a new years trip for yourself something to look forward to after the hard bit?
Also, remember it is a whole year away, you might feel differently this time next year, you'll be in the post Christmas/January blues right now. Last year after an exhausting time hosting, doing all the cooking, no dishwasher, I had a right tantrum banging pots and pans, and said 'I'm sick of this, we are going to a restaurant next year, it is too exhausting!' However, roll on this year, husband offered to do all the cooking, plans then changed, family that were going to come ended up somewhere else, and different family came, husband got the flu and I ended up doing all the cooking and hosting again, but I really enjoyed it! Had a lovely Christmas, unexpectedly. (We also now have a dishwasher).
Take your time making any decisions, maybe wait until the spring when this Christmas is long gone, there are brighter sunnier days and you will think more clearly.