When to insert??

Hello all -- I just expelled my Paragard during my last period (see post below). I want to get another one ASAP. Do I have to wait until my next period? I had (not to my knowledge) unprotected sex on day 10 of my cycle when I checked the next day and the strings were gone. I'm pretty certain I'm safe (I used FAM for years to conceive/avoid conceiving my 2 kids) because my cycle usually runs 30ish days, but of course, I am panicking a bit. 

Will a doc insert one now? (I'd be on day 17 or so.) Would it work to stop anything from happening just in case? Or will I/should I wait until I get my period?

Thank you for any & all advice!