First, say something along the lines of “It’s okay to be nervous, especially with people you have barely ever met. But without taking these sort of risks how will you enjoy life?”

The homework thing is just iceing on the cake of excuses, we all know even the busiest of people can make time for relationships especially chicks.

She’s just nervous because that’s how a lot of chicks are with meeting people they don’t know very well.

"I genuinely didn't take you for the flakey type"

I think you should keep talking to her to build comfort.

All good,what is ur schedule like?