I was bar hoping last night. I ordered a drink and after I received it the Bartender(8-8.5/10) initiated EC and held it for a few seconds.

About 20 minutes later I return for a refill and with no more than 20 seconds of bs small talk ask for her number, to which she replied 'maybe, if you hang around for a while.'

She was busy so I didn't get to talk to her much at all, just about 60 seconds of random conversation without any escalation. I told her 'Í have to leave in a minute but you should definitely give me your number. I'll send you a witty text sometime. I won't even tell you who I am.' She agreed and put her number in my phone. I texted her 30-45 minutes later with the below message.

FWIW, she didn't reciprocate with any questions when I was talking to her. The conversation was one sided.

How should I proceed from here?

id say tell her who you are and then just go fro there. If she likes you she will soon let you know and if not who cares - move on.