@WildFlowerBees i can confirm Mount Aso thrives in clay.
@AmusedMaker, you’ve got lots of excellent advice on cottage style gardens- but if you want to take your garden in a different direction, a lot of tropical and tropical-looking plants also do very well in clay soil. Cordylines, many palm trees, bananas (musa basjoo, musa sikkimensis, ensete maurelii), fatsias, cannas, tetrapanax, colocasias, pseudopanax, trochodendron, persicaria and ferns are all happy in my clay soil garden. Many of these plants love water, so as long as you don’t let the soil dry during the odd dry spells, they’ll thrive.
I do add compost and bark chip mulch every year and feed regularly - big leave plants tend to be hungry feeders.
I find crocosmia, eucomis and salvias go well with tropical plants to add a spot of colour.
Also consider adding some tall grasses- not bamboo or other invasive types, but e.g. miscanthus (Indian summer has great feathery tufts) that look good in winter. Junca spiralis also does great in water. Ornamental grasses help fight climate change as they are a great carbon sink.