  In this Part II, D(10.2), of D(10), we take D(10.1) (arXiv:1302.2054
[math.AG]) as the foundation to define the notion of $Z$-semistable morphisms
from general Azumaya nodal curves, of genus $\ge 2$, with a fundamental module
to a projective Calabi-Yau 3-fold and show that the moduli stack of such
$Z$-semistable morphisms of a fixed type is compact. This gives us a counter
moduli stack to D-strings as the moduli stack of stable maps in Gromov-Witten
theory to the fundamental string. It serves and prepares for us the basis
toward a new invariant of Calabi-Yau 3-fold that captures soft-D-string
world-sheet instanton numbers in superstring theory. This note is written
hand-in-hand with D(10.1) and is to be read side-by-side with ibidem.
