First you need to know that if you switch she might never go back to F/T so you need to think about this carefully
Second a month for a 4 year old BP is NOTHING, I would assume she is proper weight and she could go MONTHS without eating (I have individuals that have fasted from as little to 3 months to as long as 9 months)
Make sure your husbandry is optimal and know that sexually mature individuals can go of feed at this time of the year.
Husbandry can also be the cause even if nothing has changed, they can become stress overtime and go off feed.
Again as long as your BP is healthy and not losing weight there is nothing to worry about (it will only be frustrating for you)
If you want to feed live just offer live mice than once your BP eats again with consistency you can switch to rats if this is what you want to do, a small rat once a week will be sufficient.
VERY IMPORTANT Do not guess your temps, KNOW your temps.