Increase the frequency in which emails get checked, and also show the emails immediately. currently ET only initiates a sync with the following triggers:

-Going to a Contact Summary page that has an email thread

-Going to a Booking Summary page that has an email

-Going to the Mail heading in the left-hand sidebar (no need to click refresh)

Any of the above actions will send a trigger once in a 15-minute period. If you visit those pages multiple times in a 15-minute period we don’t sync multiple times. The sync also runs in the background so you don't actually see the change unless you navigate away and visit back to the tab.