forward or reversed biased?
The answer is simple: there is no answer. The circuit you've drawn can not be solved with the usual tools since it includes two different ideal voltage generators in parallel.
Let's say that the bottom node is \$0\text{V}\$, looking at the leftmost generator the top node should be at \$1\text{V}\$, but looking at the rightmost generator you can see there is a contradiction.

If you substitute the ideal generators with real ones, i.e. you put a series resistor on each of them, you'll get that the voltage across the diode is zero so that it is not forward biased nor reverse biased. If a generator is stronger, i.e. it has a lower series resistor, it decides the polarizations: the leftmost would reverse bias the diode while the rightmost would forward bias it.