Step 1: Recall anaphylaxis.
Anaphylaxis is a rapid, severe allergic reaction mediated by IgE antibodies.
Upon re-exposure to an allergen, IgE bound to mast cells triggers the release of histamine and other inflammatory mediators.
Step 2: Identify the type of hypersensitivity.
Since it is an immediate IgE-mediated reaction,
\[
\boxed{\text{Anaphylaxis is a Type I hypersensitivity reaction}.}
\]
Therefore,
\[
\boxed{(A)}
\]
is the correct answer.