It's very difficult to recommend this movie because it was one of the most uncomfortable movies to watch I've ever seen. And it didn't have the playful aspects of The Lobster (although there were some moments when I laughed out loud). It's much more similar to Dogtooth in theme and tone, and also to several of Michael Haneke's films, particularly the great Funny Games and Caché. I thought it was brilliant, and I think Alice did too.
Discussing it afterwards, we talked about its magical aspects. I recently saw The Witch, which was disappointing. The magic in The Killing of a Sacred Deer felt so much more organic; it was as though one character's pain was so intense that it tore a hole in the rules that normally govern our world. The scenario was absurd, but as in absurdist theater like Ionesco's "Jeux de Massacre", it was absurd in the manner of being somehow truer than true.