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Hello from JustAnswer. This is Dr. Love.
There are a number of different options when stimulants are not effective for ADHD or in the people that are allergic to stimulants.
Atomoxetine works by a different mechanism than the stimulants and is chemically distinct, so would not have cross-reactivity for someone allergic to stimulants. There are also certain antidepressants that may help ADHD, such as bupropion or venlafaxine, and can be used for ADHD alone, but are more commonly used when there also is some depression or anxiety.
So, if the only condition is ADHD, you could ask your doctor for atomoxetine. But if you are also having any problems with depression or anxiety, you can discuss the use of bupropion.
If I can provide any clarification, please let me know.