I don't think it is weird in any way. I was very close to my mom and she died when I was 13 ( 6 years ago ). I never worried about her like that because I knew that she could take care of herself. She was a strong woman and put others before herself, always. I was devastated, I was more than devastated. I think that you should ALWAYS want that connection with your mom and never take advantage of it. Being close to your mother is something I cherish. Never be ashamed of being that close. Your mom is very lucky to have someone worry and care about her so much. I wish you all of God's greatest blessings and I pray that none of your worries come true. Hold on to what you have, never leave room for regrets.