Possible Clues:

• Character who sang for the Queen of Hearts
• Irrational character got stuff initially confused
• In strange dream, that eccentric character appears
• Threat maybe from this companion of Alice's?
• Carroll character
• Term referring to a character in Lewis Carroll's 'Alice's Adventures in Wonderland'
• Tea drinker making foolish threat, animatedly
• This matter had tea in wonder with the land