It's only going to last for 40us... is that going to be a problem?
Inrush in the boost can be a problem if it causes the inductor to saturate and the switch starts switching at that time.
And note (to the OP) that inrush is unavoidable in the boost converter because of the direct connection between the input and output, but in low power converters like this it is frequently ignored or only addressed by slowly ramping up duty cycle (because a saturated boost inductor will allow peak current to go too high). In commercial boost PFC stages some of the inrush current is routed around the inductor via another diode in parallel to it, and at higher power levels a conventional precharge resistor with relay/switch bypass is typically used.