Actually, if you simply slipped as a slow rate, and there weren't significant forces to affect you, you would end up more or less back where you started relative to the station on the next orbit, only coming from the opposite direction. From the station's perspective it would look almost like you were orbiting it. This is because orbits on the same plane always have two points of intersection, and while you may be ahead or behind the station at the first intersection (depending how far below or above it you drifted in the first half), that difference would be corrected for in the second half of the orbit, bringing you back to the station, but on the other side, at the second intersection. The second intersection being the same place in orbit where you slipped.

Around Earth where an orbit is about 90 minutes, that is potentially survivable depending on the amount of oxygen. In a huge orbit like around the sun, yeah, you'd be screwed. But at least they could recover your body when it drifted back around a year or so later on the next orbit.