Can you read this logo as “D” in negative space?

For us to perceive it as a D, you need something on the left side. It can be a line, an arrow, whatever. Your example up there looks like two arrows because that’s what it is – with no other line to trick the brain. However, if something is added to the left side, the human brain automatically connects the dots and fills in the rest.

Examples of possible alternatives (quickly done up in Photoshop – merely examples and not finished products nor intended for use until fine-tuned).

As you can see, you would automatically see any of these as a D, much more so than the one you provided above. Play around with it, see what works best. Ultimately it’s up to you, because as someone else mentioned, there’s no need for it to look like a D unless you want it to.