If your partner has herpes zoster (shingles), it is important for them to receive treatment promptly to prevent spreading the virus. However, there is no direct risk to your 2-month-old baby. It is advisable to avoid direct contact between the infected person and the baby to prevent the transmission of the virus. The baby may not develop shingles, but they could potentially develop chickenpox. If you have any further questions or concerns, it is best to consult with a healthcare professional for personalized advice.