Going over every ability (I dont know both to a t, but lets vote anyway.
I am skipping the senses since IDK what the **** they mean.
Cronus
Regenerationn (Mid-Godly. Looks like only reality warping and sealing can put him down)
Reality Warping (I would argue better then, but still comparable to Akemi's)
Energy Manipulation (Doubt it would play a factor)
Time Manipulation (For argument sake, should probably be a little worse then Akemi who would time travel, but he is also acausual so I doubt it would do much other then be an annoyance if she trys to exploit a paradox even though it is not in character)
Concept Manipulation (IDK this ability, she has it too so I doubt it would matter much )
Spatial Manipulation
Fate Manipulation (Here is at least one way to put down Akemi who is partially acasual)
Casuality Manipulation (Same as above)
Acausuality (It is not like Akemi has the best acasuality in the world so I will give this to Cronus via benefit of the doubt)
Mind Manipulation (She is already kind of insane, doubt it would play a factor? Although I guess he can tell her to killerself, might work)
Soul Manipulation (She has no soul.)
Telepathy, Teleportation and Telekinesis (Allows Cronus to be one step ahead Akemi)
Resistances: Time, Soul and Mind Manipulation
Akemi:
Time Manipulation (Resistant too, but she still has better time hax I guess)
Healing (Worse then regen)
BFR (Thats one way to get rid of Cronus and Portal Creation to her own reality, which she has type 8 immortality does make this hard to bypass, although not impossible)
Reality Warping and Pocket Reality Manipulation (I guess another way to kill cronus?)
Conceptual Manipulation (Similar to his)
Resistances: Mind Manipulation and Magic (Does Cronus use magic via verse equalization? If so, easy win for Akemi,)
Immunity: Soul Manipulation (She has no soul)
Yeah, I skimmed through it.
Cronus should take this mid diff with better experience, better version of her hax and regen.
Although her path to victory would likely be BFR or reality warping, I doubt they are as consistent as his ways to win.