I am confused about the meaning of dedication. Does it mean "sister, which I can rely on"?
For Meghan, sister where it counts.
Sarah MacLean "A Rogue by Any Other Name"
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I'd understand this as meaning that Meghan is like a sister to the author in all the important ways - which would include traits like being able to rely on her, yes. It gives the reader the impression that Meghan would meet a list of idealised traits we feel a sister should have. It doesn't necessarily mean that Meghan is the author's actual sister, though that is a possibility; it might be that she is a good friend who fulfils everything an ideal sister would, or it might be that she is an actual sister who fulfils those traits "that count", i.e. the most important ones.