Should I walk in front or behind her?

It's something that I always wondered. When a girl and I can't walk next to each other because the way is too narrow, I usually let her go first and then follow her. But sometimes I get the feeling that they would prefer me to go first to show that I'm not afraid to lead. Sometimes I'm behind and I feel like a little puppy following his owner.
Should I walk in front or behind her?
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