Hope in a dream typically points to forward motion -- a sense that things can still improve, even without clear proof yet that they will. Holding onto hope in a difficult dream scenario can reflect real faith you're maintaining in waking life, a quiet insistence on possibility even when circumstances haven't caught up to it.
The Moon answers those who are ruled by Venus, and Venus answers those ruled by the Moon. - Picatrix (Andalusia, ~1000.AD)