It sounds like you're facing persistent issues with your iPhone's Touch ID rejecting your fingerprints, especially during the winter when your hands might be drier. Creating new fingerprints becomes a frequent task, and even moisturizing your hands doesn't seem to resolve the problem as it affects fingerprint recognition.
Considering this, it's plausible that the winter conditions are impacting the accuracy of Touch ID due to changes in your skin texture. However, there might also be other factors at play, such as potential screen issues or sensor calibration problems on the phone.
One suggestion to improve Touch ID recognition could be to create multiple fingerprints for each hand, including different angles and portions of your fingers. This approach might enhance the chances of successful recognition, especially when your skin condition varies. Additionally, ensuring that your fingers are clean and free of any debris or moisture might also help improve accuracy.
If the problem persists despite trying these solutions, it might be worth exploring further with Apple Support or at an authorized service center. They could provide insights into any underlying technical issues and offer more targeted solutions for your iPhone SE.
Have you considered reaching out to Apple Support for assistance with this recurring problem? Their expertise could potentially shed light on any specific troubleshooting steps tailored to your situation.

Get a Genius Bar Reservation and Apple Support Options - Apple
When you encounter issues with your Apple devices, the Genius Bar at Apple Retail Stores is the go-to place for expert assistance. The Genius Bar is staffed by knowledgeable Apple employees, often referred to as "Geniuses," who can diagnose and resolve a wide range of hardware and software-related problems. To ensure personalized attention and a convenient visit, Apple provides the option to schedule a Genius Bar Reservation.
Contact Genius Bar.
Manage Reservations - My Reservations - Apple

Take your device to an Apple Retail Store or Apple Authorized Service Provider, or contact Apple Support:
- If you prefer face-to-face assistance, you can visit an Apple Retail Store. Apple Retail Stores are designed to provide a hands-on experience with Apple products and offer support services. You can speak with Apple specialists, known as "Creative Pros" in some locations, who can assist you with product-related inquiries or minor troubleshooting.
- In addition to Apple Retail Stores, there are Apple Authorized Service Providers (AASPs) that are authorized to perform repairs on Apple products. AASPs are independent businesses certified by Apple to offer service and repairs for various Apple devices.
- If visiting a physical location is not possible or convenient, you can seek support by contacting Apple Support. Apple offers various channels for support, including phone support, live chat, and email. The official Apple Support website provides information on how to reach out to Apple for assistance.
Finally, you can also start a repair log or track the status of existing repair --> Apple Repair and Repair Status Check - Official Apple Support
In summary, Apple provides customers with a range of support options, including the Genius Bar Reservation system, visits to Apple Retail Stores or Authorized Service Providers, and various channels to contact Apple Support for assistance with their products. These services aim to ensure that Apple users receive the necessary help and support whenever they encounter issues with their devices.