The roof issue is dead real. I've got panels on both my static caravan and a boat, and the shepherds hut roof angle is going to be your actual limiting factor — they're typically quite shallow pitched, which means you're losing efficiency and mounting becomes fiddly.
Before you commit to anything, do a proper load audit. Work out your actual consumption — lighting, heating (if needed in winter), laptop charging, kettle usage. A lot of people overestimate what they need. Even a modest 400W system with decent batteries (Victron LiFePO4 if budget stretches) will handle office work, but throw in a heater and you're in a different ballgame entirely.
South-facing is indeed your best case scenario, so you're halfway there. Just be realistic about November–January output — it'll be significantly lower than summer, regardless of panel size.
What's your heating setup currently? That's often where garden office projects either work or fall apart.