Welcome to JA and thanks for asking
There is no interaction in case you take diazepam with your blood pressure pills so you can take it.
Now if you have not seen a psychiatrist for the anxiety I would suggest that you do have a consultation with the psychiatrist to evaluate if you need any medicine in addition to diazepam as diazepam is not a very good anxiolytic for long term use and if you have anxiety problem you can be started on other better anxiolytics with lesser side effects.
Feel free to ask if you have any more question
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