You can move the Text of the Connector by Right Clicking on the connector
and choose Format->Text and then choose Paragraph or Text Block options
depending on where you want the Text to appear.
You can use the Text Block tool to reposition text on shapes. Click on the
dropdown triangle next to the Text tool in the Standard toolbar. Select the
Text Block tool from the list. Then click on your shape and drag the text
to a new location. Switch back to the Pointer tool when you are done.