In this situation, ignoring the context of what happened after, if she wanted a greeting the onus would also be on her to look approachable. If he's looking at her and she's not making any eye contact, has here arms crossed and is looking mad, then it's not on the other person to blast past that and to say something.
Just like if a woman walks into a grocery store and gas station with a hoody on, the hoody pulled up over her head, she's walking fast and intentionally avoiding eye contact... to me that says she intentionally doesn't want to be engaged or be bothered... she doesn't want some guy to harrass her and beg for her number. Still, you will have dudes, especially if they are standing outside a gas station, hit her up like 'whats up shorty, how you doing' and then get mad when she keeps walking. To me, that's what Savannah looks like. She wants to be in her own world and doesn't want to be bothered. If she wants to be acknowledged, at a minimum she needs to make eye contact.