Super scared right now

Hey everyone, today I went to my 34th week appt, and my blood pressure was high. A different doc took it and it was worse, then she changes the cuff and it was lower. They said that it it remind high that I'll need to be induced at 37 weeks, I'm 34. My dad takes my blood pressure at home and it is always normal. He is an anesthesiologist. They want me to do a blood test but I'm currently in the middle of having bad coughing and stuffy nose and just a terrible cold. Would it be wrong for me to deny the testing? It's always normal when my dad takes it but high at the docs, I have something called white coat syndrome. Also I'm worried about being induced. What is it like? What do they do?