Accompaniment

I just got a piano teacher job. I think they are expecting me to accompany for voice students during recitals. I’m a pretty good pianist as I’m I can sight read well enough and I can play classical music.

But accompanying others intimidates me. Something about how I can’t just learn it at my own speed, I have someone else depending on me.

How do I get better at accompaniment and what are some tips when accompanying singers?