I still do believe Makima wins due to her just controlling him from the beginning of the match
Ainz has a high natural resistance to Mind Manipulation (which is in-universe considered an outright immunity) , to the point that it blocks Empathic Manipulation, Mind Absorption, Memory Manipulation, and Telepathy
Angels weapons which posses limited Death Manip
Santa Claus and her dolls being able to turn who ever they touch into dolls
The stone devils Petrification
among other useful Devil abilities such as BFR, Sealing and her precognition
Ainz's has a natural resistance to Death Manipulation, and even if he didn't, he would likely be immune to it outright since he's an immortal undead that lacks the conventional life energy to absorb. (Also he has an additional resistance to Energy Draining abilities)
He doesn't have a resistance to being turned into a doll, but his despair aura would counter that since none of them would be able to get close without getting Fear/Death haxed
Ainz has a natural resistance to Petrification
Ainz's World Item gives him resistance to BFR and Sealing, plus various other resistances such as an even higher resistance to Mind Manipulation + a resistance to having it negated
or due to the extensive range will her telekinesis she would be able to one shot him after several attacks; this is due to the AP difference (Aniz scales to 1.1 Kilotons while Makimas telekinesis upscales from 5 Kilotons)
Ainz has quite a few ways to counter Makima's telekinesis
He has a layered Time Stop which would allow him to set up a spell to kill her, which is activated via thought and is his starting move in close range
He can turn invisible, remove all of his traces and sounds, while also having rings which naturally protects him from Extrasensory Perception, Clairvoyance, and Information Analysis.
He can summon minions of his own that would cause havoc and be a distraction, such as the Soul Eaters which would eat the souls of anyone that goes near them.
And he can cast shields that could block a good chunk of the damage of Bang (while Makima can bypass defenses, Ainz counters resistance negation and can also increase the durability of them) , cast buffs on himself to increase his durability and speed, plus Makima would have her stats reduced in a number of ways such as how Despair Aura levels actually reduces the stats of enemies, Slow can reduce Makima's speed, Negative Energy Touch reduces her strength and speed even more, Energy Drain would lower all of her stats, heal Ainz, and buff his stats (though the last two would be unlikely since at that range he'd just go for an actual killing move), and has a ring that can Resurrect himself at least one time.