Yes, let her do the work, unless you want the D yourself.
A lot of people told me to file first. My L said in my state there are no tactical advantages to filing first at all, you just pay more fees and you get to decide the venue. So I let my WW file herself. It was also easier to explain to my S11 that it was my WW that is doing all of this, not me. I can tell you from my experience there is no advantage to be the Petitioner nor Respondent.
Me-LBH, 48 Spouse-WW, 48 Married for 19 years Son, 12 BD #1 - November 1998 (EA 7 months after wedding) BD #2 - November 2015 (same XBF EA) WW filed D February 2016 WW moved out April 2016