maximum emitter base reverse voltage limiting when driving with op amp?
The absolute maximum Vbe voltage of Q1 is -6V , as you can see from a cursory look at the datasheet. So, -6.35 is (slightly) outside the allowable range. 

Typically they  won't break down until 7-9V so you're probably okay, but if you want to be sure just slap a diode (eg. 1N4148) from base to emitter, or change the divider values to limit the base voltage to -5V. 

It's bad juju to cause reverse breakdown in the B-E junction, and a long term reduction in beta has been observed as a result of higher currents being forced through junction.