Should I name my daughter the same name as a friend?

My husband and I really like the name Juliet. But the day after falling in love with it, I realized I knew someone with that name. She's a family friend - our parents are long-time friends and we're close in age and have become friends over the years. They never have lived near us and we only see each other every year or two when one of us is in the other's area and we'll have lunch or dinner together. 
Is it weird to use this name for our daughter? It feels like we're naming our daughter after her - but that's not our intention. We just like the name! Or do you think she'll be flattered that we like her name and want to use it for our daughter?