It would be helpful to have a picture of the in-line temperature sensor so we can see how it is installed in the system. Note that the sticky part of the temp sensor needs to be applied to the surface of the SSD, and the two other parts of the cable need to be installed correctly. Assuming the component is installed correctly, you should use a software tool to try to pin down what is causing the fan spin up. You could also check Activity Monitor to see if there are any processes which are overworking the CPU or the disk. Once you've ruled out other causes using software tools, then then you can be more confident that there is an issue with the temp sensor. Good luck!
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