  In a p-wave Fermi superfluid suffering from the nonmagnetic impurity
scatterings, a coefficient of a gradient term becomes divergent upon cooling.
Consequences of this divergent rigidity in the stable vortices in the B phase
in globally isotropic aerogel are considered where the "impurity scattering"
events are brought by the aerogel structure. For a moderately strong "impurity
scatterings", the superfluid transition line T_c(P) has a quantum critical
point at a low but finite pressure. We find that, with decreasing T_c via the
lowering of the pressure, the distance between the half cores composing the
core of the nonaxisymmetric double-core vortex which is stable at lower
pressures grows as a result of the rigidity diverging at lowering temperature.
The obtained result is compared with the elongation of the half core pair
arising from the Fermi-liquid correction.
