I have a friend of mine that refuses to date within her circles because the men that would ask her out, from that group, had already dated other women of the same circle...so one could understand how could make her feel uncomfortable?
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.