The background for this problem is a bit longer than normal eyes can handle and don't bleed. Be prepared :) My English is bad. I'm okay if you think that my feelings, thoughts for this case are childish.
I'm 16 years old, she is 14 years old. We communicated via the Internet, although she and I live in different countries, I'm in Armenia, and she is in Russia.
We know each other for more than 6 months. I can confidently say that I love her. It's not just romantic feeling, it's more like to love a little sister or close friend.
About one month passed after her father read our conversations. I think the dialogue was fine, except there were romantic declarations (like "I love you" or "We will meet someday and be together"). Her parents think, that I am older (like 30 year old pedophile), that I used her and so on. Please, don't blame me, everything was done with mutual agreement. I think people don't understand my intentions. My intentions were good.
Her father deleted all her accounts on social networks and seized every possible way to reach her. He threatened me with the police. Some time passed, my girlfriend sent me a text message. We resumed our conversations. She told me that after "the incident" her mother rented an apartment, and they got separated from the family's father. I comforted her. Sometime after they had a family meeting, further from her words "...He thinks, that I will go crazy from love and kill myself... He thinks that you will cause me pain. He thinks that I will run away from home to Armenia".
Last time when she was online, she said that her parents allowed us to send each other paper letters. We exchanged our addresses, she promised to send me a letter the next day. She also gave me her mother's phone number to send my new address if it was changed.
I waited one week and then sent a SMS to her mother. Maybe it is stupid, but I couldn't just sit and do nothing. "Hello, this is Y. Please do not get mad at X because she gave me your number. I know that I do not inspire trust, but I ask you to take me seriously. I want to settle the situation. I believe that X's father is right and I want to apologize. I do not want all of us to quarrel; I propose having a serious discussion."
I got a reply the next day "Y, please, wait for my letters
Soon after that, I received a letter. She wrote that "My father read our conversation, he thinks that you are smart beyond your age and well-educated. He is looking forward to formally get to know you". I sent a longish reply to her and notified her about that via SMS to her mother (she asked me to do it).
Today I received another SMS from her mother "Hello. This is X's mother, it will be better for everyone if your communication with X ends. Please do not answer her letters."
This is the end of the story for now. I don't know what to do. I don't want to betray her faith in me by ignoring her letters.
Her parents are right, I know it, but I just want to get a second chance. I want to show them my good sides. It's pretty stressful for me, I can't just say anything. It's like a mind game, where I try to manipulate them, to convince them that I didn't do anything wrong and will not cause her pain. I just want to protect her smile, that's all.
Is question too broad? Off topic? I really don't know. I'm desperate and will appreciate any help.