I'm not going to talk about a fight between Ay and Tsunade because this isn't the VS section and you did say that you were comparing them when it comes to overall abilities they have.
Anyway while Tsunade does have a major strength advantage over Ay, Ay has a major speed advantage as well. Having better speed is more practical in most scenarios because both Ay and Tsunade can kill most of their opponents in one hit whereas Ay can do it much faster. Not only that, but speed also helps one's defence as it allows the faster fighter to dodge attacks more easily than the slower fighter. Being able to completely evade an attack or being fast enough to escape the opponent's eye sight is far better than getting hit and constantly regenerating because regeneration decreases Tsunade's life span and also takes more chakra than simply dodging an attack. Also speed helps you to evade attacks that can tear one's body apart whereas Tsunade may not be able to do this and thus, can lose a fight much more easily than Ay can.
Also Ay is far more durable than Tsunade. Both Ay and Tsunade went through
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, meaning Raikage did not have lightning armour activated and Tsunade did not have genesis rebirth or Byakogou. It turned out that Tsunade got cut and
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whereas Raikage didn't. Furthermore, Tsunade's body is very easy to stab as shown when Orochimaru managed to
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and make her bleed and
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. On the other hand, chidori was only able to give Raikage a minor cut and Sasuke's lightning blades were
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by Ay's raiton armour easily.