We desire only from David, because he is “Your servant”. All of David’s interest was for Your service alone, and thus, only the offshoot of David is fitting for the control of the kingdom of Hashem.
“Speedily”, for all the happiness of the days of Moshiach is dependent on the coming of the offshoot of David, for only he is blessed with the ability to reestablish Your kingdom in its full splendor and glory.
CAUSE TO SPROUT FORTH
Moshiach will be at first hidden, until suddenly he will “sprout forth”, clothed in Your power and acknowledged by all, thus demonstrating Your Presence that rests upon him and upon us at all times.
וקרנו תרום בישועתך
AND HIS HORN SHOULD BE EXALTED BY YOUR SALVATION
You will openly display Your salvation and clothe Moshiach in Your power and elevate him above all the nations, thus revealing Your Presence upon him. It is this display of Your Presence that we await above all.