When should I take a test?

Anna
So my period is 6 days late, and my fiancé and I don't use condoms. I'm on an IUD, but I've always gotten my period every month since I've gotten it. It's been late by 1-2 days, but never a week. Over the past 1-2 weeks, I've been feeling extremely tired, and don't want to even get out of bed because I'm so tired. I've felt nauseous a couple times, but not multiple days in a row. My nipples are also really sensitive right now too! lol. I know that's really weird, but my sister told me that hers were sensitive when she was pregnant. 
My question is, should I take a pregnancy test? If so, when should I take the test? Or am I overreacting? I'm getting married in a couple months, and I've been stressed out about that. I've been stressed out before, but I've never felt this type of stress before. If you have any questions, let me know. If I do end up taking a test, I'll post the results!
Thank you for advice! I really appreciate it!