I am working on a project that is trying to look a possible correlation between BMI and various outcomes in a patient group.

So the BMI is normally distributed, nominal data

but my outcome variable include length of hospital stay, number of complications, number procedures done, etc, that are not normally distributed.

I was wondering what is the best test to run to find a relationship between BMI and these outcomes

I believe most of my outcomes are nominal, a few categorical

I was thinking of doing some logisitical regressions, but that requires dichotomous depedent variables and I'm not sure how to make that fit my existing data. Would a ordered-log-reg work? but then my outcomes are not ordered data.

Thanks for all the help