Sometimes at the doc my bp measures at like, 40 points over what it is normally because I'm nervous.
Here's my advice- get your hands on a kit to measure your bp yourself and do it at home when you're calm and relaxed (like just before bed or something) to see if it really is high.
But yes, anxiety can cause high blood pressure. I suggest seeing a psychologist to deal with the anxiety so you don't have to be on the meds for long!