So honestly... Minato can literally only interact with Yoruichi through his Tailed Beast Chakra, or the Reaper Death Seal. Anything else can't do anything cus she is a Soul. And even then, Souls in Bleach ofc have Soul Resistance, esp Soul Reapers. So... he will literally HAVE to be in Kurama Chakra Mode/large Tailed Beast State the entire time.
While Minato has more multipliers for his speed, like reactions, Sage/Kurama Mode. Yoruichi has Shunko, and most of all... Flash Step, to which she is the best at. So she honestly blitzes Minato.
Even if Minato could catch Yoruichi offguard, and like hits her with like a Rasengan or Tailed Beast Bomb. She has Utsusemi, where her afterclone still "bleeds" but was still a fake...
Minato's Dimensional BFR through Flying Raijin is useless, as Yoruichi can open a Senkaimon. And even then, he has to GO to said dimension to plant a Raijin Mark to send her there in the first place.
Yoruichi has vast knowledge of Kido, so she can like use Bakudo spells to pin him in place and unleash a super powerful Hado to destroy him. Though Minato can most certainly teleport out of that with Flying Raijin.
BIGGEST of all... Yoruichi can just Soul Crush him with her Spiritual Pressure and he has 0 resistance to it. AND as is the very nature of Souls in Bleach, she completely bypasses the Edo Tensei regeneration as she ofc damage their very soul.
Honestly, the only Wincon I can even think of for Minato. Is his Kurama Chakra corroding Yoruichi. BUT, Yoruichi can easily cut off whatever ligament is corroding. Just like how Sui-Feng did against Barragan, which Accelerates time to age her. Figure out that his chakra/energy is corrosive, and use Shunko or Kido to take him out.
Casting my Vote for Yoruichi