Could go either way.
We can't ultimately know since Kakashi has no feats. Now, he'd obviously improve if the timeskip of part 1 and 2 were any indication, but there's no specific feats, so yeah.
If he tries direct CQB engagement against Sakura, he's dead. However, with things like shadow clones and ranged jutsus, he has an advantage in that regard. After all, it's not like he couldn't use shadow clone distractions. Kakashi, even without sharingan, could take this. However, the big problem is Katsuyu.