My basic point is this: Were the lead a male, Mariner would be written as a somewhat less pathetic version of Boimler. Regretfully, Mariner, as his sidekick, would probably be written as just as competent, but not as funny. This is also not an optimal premise.
Rather: Couldn't we have a Mariner who was not overcompensating? A comedy character whose best plans go amiss not because she's an awesome risk taker but because she THINKS she's awesome and makes dumb, funny mistakes because of this? That would be way more fun to watch.
Think of how strained the tension between Mariner and her mother is, from a comedy standpoint. The mother can't be ashamed of her daughter for being a half-assed officer, because she isn't, really. Instead, what should be a comedy relationship is over-dramatized because Mariner is an excellent officer who " just can't follow the rules, man!" --except the rules she breaks aren't that interesting.
What if Mariner was a REAL rule breaker-- smuggling contraband or taking shortcuts that lead to dangerous hijinks? This is where her being written as an inspirational character hamstrings the humor.