The internet can be an excellent resource for things like this.
Here is the pronunciation according to Wikipedia: Al-Qaeda (/ælˈkaɪdə/ al-KY-də
In EBAE - RULE X — GENERAL USE OF CONTRACTIONS
34. General Rules Governing Part-Word Contractions: Contractions forming parts of
words [u]should not be used where they would obscure the recognition or pronunciation[/u] of a
I was always taught: "When in doubt - spell it out"