I've never had any problems but I'm not you but for you it will it or won't. Ask your Dr

I use t-gel but it's the same thing

It's a tar shampoo

Yes, T/Sal shampoo is safe to apply to the scalp and hair as it is designed to treat conditions like dandruff and psoriasis. However, it should be used as directed, and if you have sensitive skin or specific health concerns, it's best to consult a healthcare provider first.
neutrogena.com Cleveland Clinic
Safety of T/Sal Shampoo for Scalp and Hair
General Use
T/Sal Shampoo is designed for external use on the scalp and is generally safe when used as directed. It contains 3% salicylic acid, which helps treat conditions like dandruff, seborrheic dermatitis, and psoriasis by breaking down dead skin cells and reducing scalp buildup.
Application Instructions
Wet Hair: Start with thoroughly wet hair.
Massage: Apply a liberal amount of shampoo to the scalp and massage it in.
Leave On: Allow the lather to sit on the scalp for several minutes before rinsing.
Frequency: It is recommended to use it as part of your regular scalp care routine, but not more than twice a week to avoid irritation.
Precautions
Sensitive Scalp: If you have a sensitive scalp, use caution and consult a healthcare provider if you experience irritation.
Avoid Contact: Do not get the shampoo in your eyes. If contact occurs, rinse thoroughly with water.
Consultation: Talk to a healthcare provider before use if you have any underlying health conditions or are pregnant.
Conclusion
T/Sal Shampoo is safe for most people when used correctly. Always follow the instructions and consult a healthcare professional if you have concerns about its use

There is some fine print on the bottle that goes on about no sunlight exposure after use or something. I use to have a morning commute to work in the sun... maybe that's what set it off?