When the queen mentions King Edward's "looseness" (4.4.11), she is refering to the loose grip he has on his country, because of the loose and flippant way he approaches his courtly duties.
King Edward obviously has a loose grip on his country, because in the storyline of the play, France seizes Normandy. The King doesn't seem much bothered by this; he is instead concerned with his personal favorites. He does not maintain a tight enough grip on the relationships he has with the members of his court, evidenced by the shockingly disrespectful way they speak to, and rebel against, him. It is also possible that King Edward also doesn't want to have a particularly firm grasp on his country, because of the way he offers parts of his realm to his opposition, in order to keep Gaveston with him:
"And thou of Wales. If this content you not,
Make several kingdoms of this monarchy
And share it equally amongst you all,
So I may have some nook or corner left
To frolic with my dearest Gaveston" (1.4.69-73).
Conversation Piece - Monday, December 8, 2008
"Oh, come not near me, sir; I shall defile you.
I am that of your blood was taken from you
For your better health. Look no more upon't
But cast it to the ground regardlessly;
Let the common sewer take it from distinction.
Beneath the stars, upon yon meteor
Ever hung my fate, 'mongst things corruptible;
I ne'er could pluck it from him. My loathing
Was prophet to the rest, bu ne'er believed;
Mine honor fell with him, and now my life."
(The Changeling V.iii.158-67)
I am that of your blood was taken from you
For your better health. Look no more upon't
But cast it to the ground regardlessly;
Let the common sewer take it from distinction.
Beneath the stars, upon yon meteor
Ever hung my fate, 'mongst things corruptible;
I ne'er could pluck it from him. My loathing
Was prophet to the rest, bu ne'er believed;
Mine honor fell with him, and now my life."
(The Changeling V.iii.158-67)
