Dairy Free in Greece

Forgive my ignorance, but does the allergy extend to goat and sheep milk cheese? Cheeses like feta are the most commonly found dairy components, so just curious if that might help.

Yes it does sadly.

You should be fine with dolmas. The traditional recipe is dairy-free, so I’d just confirm.
For spanakopita and baklava, I’d look for a vegan place. Baklava typically has butter and spanakopita has feta.
Gyros could be more difficult. Pita is often made with milk. If you were able to confirm the pita was dairy-free, you could just get them to hold the tzatziki and feta.

In all restaurants you'll find plenty of dairy-free dishes. Don't get stuck on the idea of ​​a traditional meal with a starter, main course, etc. In Greece, you can choose several small dishes as starters (meze) and make it your entire meal; it's even the basis of a traditional meal. All these dishes are shared by everyone. In addition to meat and fish, there are plenty of dairy-free options. Indeed, dolma (dolmadakia), taramosalata, fava beans, hummus, spanakopita, soups, arakas, etc.

There are so many places to eat in Athens that I don't really see the point in going specifically to Holy Llama, which is just a very expensive bakery/pastry shop/brunch spot with no culinary merit, and which, moreover, isn't particularly dairy-free.

I’d stick to tavernas too, no need to divert to the places you mentioned unless you want to visit them. A significant part of the Greek cuisine is rooted in Lent culture: the six week period before Orthodox Easter when many Greeks don’t eat meat, fish, eggs or dairy. So basically totally vegan (although a lot of Greeks wouldn’t call it like that😉).

Many of these -very tasteful- dishes are available year round: using fresh vegetables, grains, beans and other legumes in starters, soups and casseroles. Seeing that you eat meat and (probably) fish you’ll have no problem at all eating out wherever you are. Just have a couple of these veggie of legume based dishes/starters and some meat or fish and here’s your Greek culinary feast!

An alternative to spanakopita is hortopita, with a healthy filling of local greens and often made without cheese. In Santorini, they do miracles with dishes based on chickpeas and tomatoes I believe.