Question

RICHARD III (Duke of Gloucester):
Why, this it is, when men are ruled by women:
'Tis not the king that sends you to the Tower:
My Lady Grey his wife, Clarence, 'tis she
That tempers him to this extremity.
Was it not she and that good man of worship,
Anthony Woodville, her brother there,
That made him send Lord Hastings to the Tower,
From whence this present day he is deliver'd?
We are not safe, Clarence; we are not safe.

GEORGE PLANTAGENET (Duke of Clarence):
By heaven, I think there's no man is secure
But the queen's kindred and night-walking heralds
That trudge betwixt the king and Mistress Shore.
Heard ye not what an humble suppliant
Lord hastings was to her for his delivery?

The meaning of the word tempers is
The meaning of the word suppliant is

Answer 1

1. The meaning of the word tempers is to exercise control over. If you take a look at a dictionary, and search for the verb to temper there, you will see that its archaic usage was to denote that somebody has power over somebody else.
2. The meaning of the word suppliant is a person who respectfully asks for something from someone more powerful. A suppliant is a person who very humbly seeks for help from someone in authority.