Judy, you are smart to think ahead for adequate foot protection while on your trip. Like others have indicated here, a good pair of waterproof hikers with a bit of ankle protection is definitely called for. My feet were happy in the Oboz waterproof shoe. I liked the low cut, which gave me good protection for the walkabouts I did. Mind you, I did not do much heavy hiking in these but have since used them for snow showing here in the Northwest and I appreciated not having wet socks. In Scotland, I did appreciate their grip on wet pavement in Glasgow and on the trail at Glen Affric and the trail to the fairy pools for the slippery scree at times.
https://obozfootwear.com/en-us/product/women-s-sypes-low-leather-waterproof
One other item you may want on your packing list are rain pants. Good for rain, obviously, but also wind protection. A good lightweight rain proof jacket with a hood that is adjustable is also a must.
Happy travels to you. I loved my trip in Scotland (September 2022).