Feeling guilty for a simple misunderstanding with my family

I feel like I made a mistake, today my youngest sister ask me in a serious tone if I'm going to take her to the station or if she going to take the car. I told them I will take her. That was that. Later, it seems my sister told my mom that I was going to take her, she gasp and asked why I take her when nobody is going to need the car tomorrow. She went to ask my sister Dilma if she was going to need the car, my sister said no. Then my mom went to me to ask if I'm going to need the car I told her I'm not sure because I'm waiting to receive an email to start working. Mom said that Althea my youngest sister can take a car tomorrow and I can use the other. Then it stuck to me that my mom is on vacation. I felt guilty because I think it sounded like I didn't want my sister to take my car or something like that. I had this problem before because I share my car with althea but my sister dilma question me as to why am I letting her take my car, I told she needs to get to work and I'm currently not working so she can take it. Dilma said why can't she just take the other car, then I told her yeah she can do that too but I told that I was fine with her take my car so my and mom and her can take the other or vice versa. Dilma keep pointing out and was not letting it go that I was letting althea take my car but I said to her angrily to stop. I told her it was fine, if you wanted to take my car you can take it too but you guys have to talk it out between you and althea and mom can take the other car. I don't know but I think mom heard my conversation with Dilma but I am very easily persuade but this time I didn't do anything wrong and I threw out many suggestions. I hope 🙏 mom doesn't get the wrong idea with me.