Issues with your ex aside, I'd caution against ending one relationship and immediately jumping into another one -- especially going into a rebound SO much older than you. Depending on how long you were with your ex, that gap is already iffy, so if you're going to avoid an unhealthy dynamic with this new guy, you at very least need to be going into it from an emotionally healthy place.

A 37 year old who would be eager to get with a vulnerable and unsure of herself 24 year old is one you want to avoid. Just because there's chemistry doesn't mean there's potential. Hold off and reexamine things when you're fully free of your ex and have had some time to yourself.