Final answer:
The type of instrumental music without a story or idea connection, favored during the Classical period, is absolute music. Therefore, the correct option is A.
Step-by-step explanation:
The type of instrumental music that has no connection to a story, poem, or idea and was favored during the Classical period is known as absolute music. Absolute music is purely instrumental and is not intended to represent or illustrate something else, such as a story or poem. During the Classical period, this type of music was preferred over program music, which is intended to evoke a particular story or idea.