How much damage did the abyssinia crisis cause to the league of nations?

While the League of Nations, Britain and France were dealing with Mussolini (the prime minister of Italy), Hitler was rebuilding Germany's army in the Rhineland.

Britain and France were appeasing Mussolini so that they will get Mussolini's support but Mussolini turned to Germany

Due to Hitler's repowering, the League collapsed!!

The abyssinia crisis was just the loaded trigger of the failure of the League but Hitler's growing power during the abyssinian invasion was what pulled the trigger