1
general::
Go straight to, as in He made a beeline for the refreshments. In this expression, beeline means "the shortest distance between two points," alluding to the route of worker bees bringing nectar and pollen back to the hive. [c. 1830]
American Heritage Idioms
2
general::
Phrase(s): make a beeline for someone or something
Fig. to head straight toward someone or something. (Alludes to the straight flight of a bee.) • Billy came into the kitchen and made a beeline for the cookies. • After the game, we all made a beeline for John, who was serving cold drinks.
McGrawhill's American Idioms And Phrasal Verbs