Probably, though my concern is Sagiso is gonna be so OP even the perfect strategy is gonna be useless. Azumi could do everything right and still be vastly overpowered. And that's not even accounting for Sagiso being a strategist as well.
But it is appreciated that you think this can even be a fight TBH.
Well the thing is, Azumi is set to be less developed that Sagisō in terms of fighting style, as far as I'm aware. You've never particularly stated any desire to have her acquire more nature's, and against Sagisō who will at minimum have 2 natures, she comes off as less versatile.
That being said, it's merely an appearance, a facade if you will, between Umbrella-kenjutsu, Yin-release, and Water release, you'll be able to adequately face off against Sagisō's Wind-release, Fire-release, Shurikenjutsu, and Taijutsu.
In terms of sheer range control at a close distance, Azumi is probably at the top of the OC list, she covers every single range and specializes in close-mid range.
Well, time to overhaul Azumi's Umbrella.
Stolen straight from the King's Avatar (It got an anime a while back)
Ye Xiu's Thousand Chance Umbrella (Myriad Manifestation Umbrella)
It's essentially a transforming umbrella that covers a myriad of fighting styles and accommodates many forms; it has a whopping 12 different forms, though I'm only really expecting Azumi to be able to use a couple of them. Though she could wield all twelve.
It's an excellent transforming weapon that can shift from very short range attack (umbrella), to mid-range attack (extended shaft or inverting the umbrella's top), to defensive (Umbrella Shield), to slashing (bladed edges), to long distance (A hole in the tip through which to funnel chakra and deliver nasty surprises)