I would just put the baby to the breast and let it breastfeed.
The nurse forced me to do this with DC1, and looking back I just feel horrible and mean. Poor thing, traumatized and now forced to crawl to eat when only an hour old...? If you just got ejected from a nice warm womb, wouldn't you just want to curl up on mommy's boobies??
For background, DC1 was an unnecessarean for failure to wait. I believed what the docs told me even when it went against what I knew. (pitocin, etc.)
Afterwards, in recovery, when they finally brought my baby, I kept saying, "shouldn't I just put him to the breast?" and the nurse kept saying "no". (Duh - why did I listen!!!!!) I think she was performing her own experiments or something, it was awful.
[We had an awful time nursing, I could only bear the horrid pain for 2 weeks, and ended up pumping for 3 months and then quitting. I believe all of these things contributed to that still-heart-wrenching failure]
After my HBAC with DC2, I nursed her right away in my own bed, and she is still nursing strong at 2.3 years. The midwife just stuck my boob in the baby's mouth.
Bottom line, it may be cool, and some babies may do it, but I would definitely not do it. And I would certainly not do it for 40 minutes! That just makes me sad, poor frustrated minutes-old baby being so close to warm boobies and yet unable to move to them. Good grief, nurse the baby!!!
If you absolutely must try it, perhaps you could bring her to your breast after just a couple minutes of torture.
Just my humble opinion.