I think I've read something about how the Milky Way's central black hole is unusually quiet, and speculation whether that was a prerequisite for life to develop.
It wouldn't seem so. The distance of closest approach to the hole is still 215 times the hole's horizon radius. The star's orbit will, over a very long period, decay due to emission of gravitational waves, so eventually it will fall into the hole, but not any time soon.
Not the near future, no. Gravitational radiation is probably the only factor eroding its orbit, and it's a very small factor indeed.
You might see a merger between Andromeda & the Milky Way first!
Still in the long-term, yes it probably will be eaten up. After all the galaxy's black hole must have fed on stars in order to reach the huge mass that it has now.