Design of an amplifier with emitter degeneration
Consider worst case hFE not max do it might be hFE=200 for loading effects on base bias.

Rc~50*Re
Rin~hFe(min)*Re
Ic=10V/(50+1)* Re. *50%
Vb~0.7V+ Ve(=10V/51=0.2V)=0.9V
choose base bias with Rin loading effects for 0.9V from 10V