I am currently in the process of listening to "We Wish to Inform You That Tomorrow We Will Be Killed with Our Families" by Philip Gourevitch. During the course of the book it mentions that Madeline Albright, then ambassador to the UN, sponsored resolutions against interfering in Rwanda and tried to dissuade others from interfering as well. Why was this?
The Clinton Administration had several reasons for not interfering in the Rwandan Genocide.
The primary reason was the Battle of Mogadishu was still fresh in everyone's mind. The Battle of Mogadishu, popularized by the film [Black Hawk Down](https://en.m.wikipedia.org/wiki/Black_Hawk_Down_(film) was when the US sent Delta Force soldiers, SEALs and Army Rangers to deliver humanitarian assistance to Somalia in Operation Restore Hope (under President George H. W. Bush), whose central government was rapidly dissolving. Siad Barre, the socialist dictator, was quickly losing power because of harsh crackdowns on protesters due to squalid conditions in Somalia. The main figure of opposition was Mohamed Farrah Aidid, who led the Somali National Alliance. When the US sent aid, Aidid kept stealing it. This led to President Bill Clinton dispatching a squad of Delta Force troops to assassinate him. Long story short, the operation failed and left hundreds of Somalis and 19 Americans dead. There was a large belief in Somalia that the US was nothing more than an imperial power, and US troops were attacked across the nation. This led to a rapid withdrawal of soldiers from Somalia and the end of Operation Restore Hope. When the Rwandan Genocide began, no one wanted another repeat of Somalia to occur.
Another reason (that mostly still proves true today) is that America sees Africa as largely Europe's domain. Since America never had any colonies in Africa (though Liberia is up for debate), they felt domestic issues should be solved, or at least led by, Europeans. This was because they felt Europe had the most experience with, and connections to, their former African colonies. Thus, the effort in Rwanda was delegated to Belgium, its former colonial master, and France, the cultural powerhouse of the region (Central Africa).