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Do you think I should lead with business, when I contact her when she's back? I figure casual text, about whatever subject (business or something else) in 12-14 days, giving her time to recover from her flight.
Personally I'd strongly recommend against leading with business when you first contact her when she's home. This sets a non-personal and non-romantic frame. Early impressions and interactions are very important because they're going to form her perspective of you. Therefore its important that you set a light-hearted playful frame to begin with, else she might never think of you as more than a business associate.