OK, with the shower curtain wrapped around, lay a wash cloth or hand towell on that corner of the tub with one corner of the cloth trailing down into the tub. That way the cloth will collect the excess water and wick it down into the tub.
Please consider, this is only a quick fix and further work needs to be done to the tub. If there is an access door on the other side of the faucet wall you could place some shims to do the leveling job.
Glenn
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