Jeez. You sound bizarrely offended that some man refused your help. Well, he didn't want it. For whatever reason. He's entitled not to accept your help. End of, move on.
He might have been a dick, sexist, in a bad mood, rude, snapped or maybe it came out differently than he intended, ASD, no one knows, and does it really matter?
Funnily enough, my grandad, while alive, had similar; he told us. Also on the train. Not the UK, the trains have steps down them, quite steep they are, and then there's a gap. It CAN be a little scary if you're not used to this, or if you're elderly. He didn't have any bags with him, but he was struggling a bit down those steps. A young woman offered to help him, he said. He accepted and thanked her, but when telling the story to us, he did chuckle about it. Like: there was a time when I was helping young ladies off the train, and now I have to accept help from them. He said it in a nice tone, but deep down, he might have been a bit hurt/vulnerable. He was a nice man, kind, chivalrous, and NO, that's not the same as sexist.
I once offered help to an elderly woman whose bag ripped and her groceries ended up on the ground, with oranges rolling about. I'm a woman myself. She started waving her hands and shouting at me, probably thinking I was trying to steal her stuff or something. Now I could have become butt-hurt in a 'who the hell do you think I am, don't you see how well-dressed I am, I don't need to steal your shit'. But why would I? I just shrugged and moved on.