I have a daughter who has always been difficult and on occasion, downright rude to me! Like you, I find myself getting really angry and even losing my temper! It has seriously affected my mental health, so for my own sanity, I have distanced myself from her! If she wishes to make contact with me, she will need to do it via her dad (my husband) or my son (her brother)!!! Fortunately, she moved back to our hometown a number of years ago, and it's 50 miles away, so that makes it easier! My daughter gave birth to her first child on 12th January, and while I would love to be involved with my little granddaughter, I really cannot handle any more of my daughter's unpleasantness!
You say that you live with your daughter and your 13 year old granddaughter? I don't know you or anything about your circumstances, but I do wonder if it might be possible for you to consider getting your own accommodation, away from both your daughter and granddaughter? I live with my 26 year old disabled son, with whom I have a good relationship, and also my husband, who I get on less well with since we both had to retire early due to poor health! It doesn't help that he always takes my daughter's side in any disagreement I have with her! He either denies this, or says it's not about taking sides! I am his wife and I expect him to be on my side! Once this pandemic is over, if things don't improve, I will be looking for alternative accommodation and starting divorce proceedings! We have been together for nearly 46 years, since we were just 18 and married for 37 years!
I really don't want to end up divorced and alone at 64, but I cannot live with things as they are! If you find your life with your daughter and granddaughter is becoming intolerable, you have to do what is best for you! Good luck, whatever choices you make! xx