Should I initiate the next meet up/drink with her?

There's a girl I've known for ages at the center I volunteer at. I've liked her for AGES. I know she's also gay, but we've never spoken about the topic directly. It took me forever to find the courage to ask her out for a drink, and last week I managed to (she said yes). I was nervous as hell, but we met at a lounge/bar and had an amazing talk. We talked for hours about many things and understood each other so well. I felt we really clicked, and since then we've both mentioned "next time" a few times, but haven't yet organised another catch up. There have been many little smiles exchanged between us since then, and I notice she keeps looking at me when I'm volunteering on with her.

My dilemma is that this girl is the supervisor of this place. We've known each other for years but until meeting up we'd never really spoken deeply/alone with each other before. We're only now just getting to know each other, I guess. I've been volunteering there for a long time and don't really plan on giving up soon, though I could try to find a new place. The truth is that sometimes I can't stop thinking about her. Because I like her so much, I'm nervous about screwing things up.

It's not like we're dating or anything yet. I'd never want to put her in an awkward position whilst at work. She's very softly spoken and is a pretty shy person in general, like me. I thought maybe she'd initiate our next catch up, but maybe she's nervous. I don't know. Would it matter if I initiated again, or would it look desperate?