You can also see if 14 mukhi and 13 mukhi are really required for you or not. All rudraksha beads works properly. But some of the beads will give more benefit than others based on their qualities. You can send us for rudraksha recommendation online. And also ask question there. Rudraksha recommendations are for beads upto 14 faces.
Kumara, The detachment thought is brought or comes to mind because of Anger or Addiction. The addiction is coming because of much involvement or more than required interest in something. Which leads to Anger and then the Detachment.
All rudraksha beads while wearing should be considered if that may give more power and anger or not. If some bead may give anger and irritation then those beads should be avoided. Lord Shiva himself is married and Enlightenment does not lead to detachment from family. More involvement in matter will surely lead to.
Please see if you require rudraksha for venus. If that is ok then you can wear 13 mukhi.
One example is, Once customer felt real anger within after wearing 1 mukhi. But after closely analyzing and suggestion, he wore it for less time in a gap. And after a period of time ( 1 month +- ) he felt good on wearing that rudraksha.