I think you owe it to yourself to forgive yourself, learn from the experience, and move forward. I'm glad that you desire to be a doctor strongly - that means you
know that you can take the test again and succeed!
You can accept your feelings of disappointment and let them go when you're ready.
Your mom sounds very supportive and excited about your future - she loves you so much that she talks about your life with everyone else

I think a lot of mothers talk about their children this way (I know that mine does.) I think she will respect you a lot for taking time to process/learn from the experience. Remember, perseverance is a virtue! You don't even have to talk about the specific "number" of your score - it's as simple as saying, "I didn't do as well as I wanted, so I'm going to learn from my results and do much better next time!"
Also, I have yet to meet someone who finds standardized tests user-friendly - you are neither the first person, nor the last person who will struggle with them! Take heart - you'll be a better med student by this process of learning better study methods