Referring to the 1810 bill no. 2 how did the willingness of president madison to gamble and the craftiness of french emperor move the u. s. closer to a second conflict with britain?

Judiciary Act of 1801 - Passed by the expiring Federalist Congress. Adams signed in "midnight judges", one of them being John Marshall.

Madison's Gamble. Napoleon saw his chance with Macon's Bill No 2 -- Madison "gambled" that the threat of seeing the US trade exclusively with France would lead British to repeal their restrictions. He accepted the French offer as evidence of repeal.  His gamble failed and he saw no choice but to re-establish the embargo against Britain alone -- meant the end of neutrality. 

detente translated to english means politics

when in doubt choose c

it's what my teacher told my class when we were going into psats