Is it normal that i love my friend as a daughter?

Ok. So last night I was talking to my friend on the phone. Let's call her Lucy. Lucy and I met over facebook just about a year ago. We haven't been in any relationship stuff but we have talked a lot. We've never met, but we feel like we've known each other for years. As we were talking last night, I was suddenly overcome with this TREMENDOUS wave of care, of love even. But in the normal way. I felt like she was my daughter. It was like an immense love. Heavenly almost. I had this very overprotective feeling for her, but the overall feeling...it felt GREAT. But it was like my body couldn't handle the energy; I had adrenaline pumping through me everywhere, it was kinda freaky. But it was amazing. I told her about this and she said she's been feeling something like that too, but a little less strong. She said it felt good knowing someone felt like that (she hasn't had the easiest life). So what I'm wondering is, is this incredible feeling normal?