There's a lot going on there.
- Nobody responding to you shouting three times in a minute at the ticket office.
- Not seeing the ticket machine due to your self confessed poor observational skills.
- Heavy traffic making you late.
- In a rush.
- Not seeing the conductor because the platform was busy.
- Platform too cold to wait 38 minutes.
They will explain all of these away as you not planning ahead. Don't expect any leniency, understanding or common sense from them.
They take "fare-dodging" very seriously with pretty much zero tolerance.
The only chance of leniency was probably from the ticket inspector, but you got a jobsworth.