Preaching is the assumption others want to hear about your religion.
That’s beating someone over the head with a Bible. Preaching is talking about it to others. If the person says “not thanks” or “not interested” then that’s it. The act of preaching is done. Anything else beyond that is no longer preaching and is more like baggering.
I know what you’re saying and I absolutely understand, but it’s not fair to lump someone trying to be nice (and someone trying to share something they feel is positive is being nice) and someone pushing an agenda and not being happy until everyone thinks like they do. There’s a lot of middle ground to be had.