This is a question about parents who take put phone please help

So Lily is 15. She has social media as most others do. She makes friends online like on Among us. Her mom decided to check her phone and her messages. She notices a Man in a profile picture that her daughter is talking too but little does she know the man is a meme and its guy Lilyś age. The mom gets mad at Lily for ¨¨speakin to old men¨¨" but Lily is confused. She does nothing about it. After another day in which her mom takes her phone, the mom says ¨Your friend(another person) sent you a message [on messages app] yesterday and Lily asks how do you know. The mom says because I Saw. Lily feels as if her mom doesn't trust her and feels mad about it and tells her mom it's not okay to look at her privacy. Even though she has not done anything bad. She asks her mom¨ what would you do if I checked you messages¨ her mom gets FURIOS AND MAD and goes up to her and says
YOU SHOULD NOT BE SCARED ABOUT ME CHECKING YOUR PHONE AND IF YOU ARE IT MEANS YOUR HIDING SOMETHING but Lily says she just doesn't like that she checks her phone but her mom says WELL I AM YOUR MOM

Ok I need to answer¨¨>>DO you think Lilyś mom should take her phone away
a.is it right to take her phone
b.should her mom be mad she is asking for privacy