I feel pretty sure that this is it. And deer don't like it according to one website that says; "The foliage of members of the Pink family tends to be high in saponins and unattractive to mammalian herbivores."
I think Michelle and Theora are right: this is a forget-me-not. And I also think I have a vague memory of planting some seeds for this last year. They look so weedy coming up that I'm sure I've yanked up a bunch of them before they could bloom. If they survive the deer, they'll be keepers.
Here's a picture from last year. I'm letting them spread. They're weedy but are also pretty, in a modest, plain-jane way. And I STILL don't know what they are.
Most people, including me, wouldn't call these weeds. But they come up every year in the park next door and I've never been sure what they are. Deer don't eat them so I'd like to borrow a few plants for my yard in the hope they'll spread.