Do you ever tell girls you're dating other people? Like if she asks, "what are you doing tomorrow night?" Do you tell them "Oh, I'm going on a date with Michelle." Or just say something short like "Ehh just hangin out with friends."
You asked her if she wanted to grab coffee. Then you asked if the time worked. Then you asked if the place was okay. Then you asked if she'd prefer tea.
Four questions. Four chances for her to say no. Four signals that you're terrified of making a decision.
Plan it. Pick the place. Pick the time. Tell her where to meet you. She'll either show up or she won't.
Either way, you look like a man instead of a scared little boy.