Do I need to worry about almond allergy if I suffer from other nut allergies?

Possibly. Tree nuts include almonds and as a general rule of thumb all tree nuts tend to travel together. If a patient is allergic to one tree nut it is probably prudent to avoid all tree nuts. Tree nut allergy can kill so this is not an allergy to take lightly, .
Almond allergy. The safest recommendation is to avoid all nuts. This is true even if only to avoid misidentification or contamination. Most tree nuts do cross react with each other. That being said it is possible for some people to be allergic to some nuts but not others. Your best bet is to speak directly with an allergist.