I have a south west facing garden on a visitor terrace, so it has windows facing both ways.
With careful management I was able to keep the house temperature to generally below 26 and even in the 40 degree phase below 30.
That involved setting the parasol up to shade the back door (ineffectively), all curtains closed all day, and opening curtains and windows for a couple of hours in the evening/morning. Sadly I live in a very urban area so road noise/streetlights/the likelihood of being burgled means it's not possible to leave the windows open all night.
If I were making any changes to the house I would certainly be thinking about heat management when I made them.
e.g. I have obtained a big gazebo which I'll be setting up next summer to shade the kitchen window and door. If I were replacing windows I'd be getting ones that open inwards so I could fit shutters outside them. I'm still considering if I could fit some kind of awning above the upstairs window as a temporary measure.
So I think you'll be able to manage it, and the sunshine in the winter is lovely. I love my South facing garden and I don't know if it's the directionality of the house but my heating bills are very reasonable. For me the garden makes up for any of the work.
But I do think we are feeling the impact of climate change now and it's worth thinking about what houses in Mediterranean countries do to passively reduce the impact of heat.
Whacking in air conditioning is certainly one option but given where we are environmentally it wouldn't be my first choice, or frankly given electricity prices economically either (especially not without first putting in the measures that other European countries would have as standard on their houses to make running Aircon more efficient).