I am going to be the mean one here. Your anxiety might very well stem from avoidance. Avoiding the interview, avoiding your mom. Your mom might be the main problem, I don’t know, her temper may have created your now automatic reaction to situations where you are anxiety ridden. I am not just saying suck it up and deal with it, I know the anxiety is very real, not just in your head, but also physical for you, scary, but the more you avoid situations the more anxious you will be. It sounds like a lot of your anxiety is anticipatory, which is veru common, and probably the worst kind. Getting all worked up about what is going to happen or could happen, and it is probably usually way worse in your mind than the actual situation.
Reschedule if you can. Do it. Call and ask. If you can’t you can’t. Making that phone call to reschedule could solve your problem, or it might not, but you must try. I assume you are afraid to even make the call, but make it. They are nobody to you write now, it can’t get worse with them, pretty much you already feel you have screwed up the interview, so what if they actually say to you, “sorry you missed your chance.” They possibly will let you interview again. If you don’t want the job, you can do the interview and still turn it down if you get the offer. You are in control. The best thing will be if you do get to interview, it will be practice interviewing. That when when you interview for something you really want, you will have learned where you have failed to have an answer previously and be more prepared.
I hope you are in therapy with a good therapist who can teach you steps to face situations that you are fearful of. Anxiety is the worst. I have been through times of high anxiety it was awful, absolutely awful, I have a tremendous amount of empathy for you.
In the end, I think you will have to tell your mom the truth, because even if you lie, she will probably think you are lying. If you can get that second chance to interview, you can either tell her the interview day was changed, which is only a half lie, or tell her the truth, and that you overcame your anxiety and called and rescheduled.
Your mom is most likely extremely worried about you more than anything. She loves you, and probably desperately wants you to be better. She just doesn’t know how to make it better.