Many renovated Tudor-style houses did have attached sunrooms after the Tudor period, the roof gable is Tudor shape and most Tudor buildings were wooden. Even the pigeon spikes on the roof and end touches like finials are Tudor-*inspired* on this more wooden modern shed. It's not my shed, it's probably it's not even glass but polycarbonate (PVF or PVC) which is resistant to storm damage. But if it is glass, the smart choice will be tempered double-glazed or even borosilicate for lower temperature climes. I doubt anyone would be silly enough to put a regular glass on it, though it probably is safer with high pitch roofs from hail damage.