Was I in the wrong??

My 43 year old mother who hasn’t hadn’t a job in years because she has a felony for drugs was living with me. She has an apartment that she doesn’t have to pay rent for, but no power or gas. She has been with me for about 3 weeks. She does have health issues. Today, I was at work and my husband was doing yard work around town for money like he does every week. It’s what gets us by after buying a house recently. It pays for our gas and phones. I also dropped my 2 cat’s off to be neutered today. At 3 I had to pick them up. I got done with work at 1, but went to help my husband earn our extra money. Then I picked up my cat’s and went home. Last night I had a Halloween party. My mom drove into my back drive way and parked her car. She knew that we lock that back gate to keep people out. She didn’t tell anyone that she had a doctors appointment today and needed to get out. She didn’t have a key to unlock it. She called me once I pulled into my drive way yelling and screaming at me that she was late for her appointment and that I was ignoring her and all this and that being extremely rude to me and saying mean things about my husband. We didn’t mean to lock her in there. She was late for her doctors appointment and was yelling and screaming at me till I unlocked the gate. I was just trying to put my cat’s inside since they just had surgery and she was losing her shit on me. I hadn’t received a call from her except the one when I pulled in at the front. She came back in the house after getting her car out of the back and packed up get stuff, threw my key at me, and left. I had yelled back at her because she was screaming at me. I told her I was sorry that I didn’t know and that my phone hadn’t rang and that’s what she started saying things about my husband. At that moment I told her she could move out now because I won’t be treated like that when all I have done is paid for her to live comfortably when I don’t have to. She is 43 and can get her shit together.

Was I in the wrong? I feel I had every right to do and say what I did. All of this was over a doctors appointment. I did go and put locks on all my gates so she can’t come back and I’ve packed up all of her stuff and will be dropping it off at her apartment.