Poor thing, she probably wants to beat the living crap out of that dog. See how she's lifting her front feet? Good chance she has a fawn nearby and is feeling very threatened.
The dog is wagging and looks like he thinks it's a fun game but the doe is stressed and if that dog got out I know lots of people who would shoot a dog running deer. He doesn't even have to catch her, just run her, particularly if she was still pregnant.
Sorry, just call me killjoy.