You'll probably have to replace the bluetooth adapter. It's usually a little tiny card that looks like [link|https://www.google.com/imgres?q=thinkpad%20t510%20bluetooth%20adapter&imgurl=https%3A%2F%2Fi5.walmartimages.com%2Fseo%2FLenovo-Thinkpad-T510-T520-Bluetooth-Card-60Y3271_a60077c1-d5dd-46d6-855c-09e4f4769ee9.60081ec436fb046b4d28a1ad17cb9963.jpeg%3FodnHeight%3D768%26odnWidth%3D768%26odnBg%3DFFFFFF&imgrefurl=https%3A%2F%2Fwww.walmart.com%2Fip%2FLenovo-Thinkpad-T510-T520-Bluetooth-Card-60Y3271%2F1847333610&docid=pBvUke4le-XkSM&tbnid=-zYd_DqkecSkqM&vet=12ahUKEwiZ27Letf-IAxVRRDABHbsKI-MQM3oECGsQAA..i&w=768&h=768&hcb=2&ved=2ahUKEwiZ27Letf-IAxVRRDABHbsKI-MQM3oECGsQAA|this]. It's a bit difficult to explain how to replace without being able to see it, and there aren't any teardowns of the laptop that I can find, so if you'll take some pictures of your laptop, I'll give you step-by-step instructions on what to do.
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I actually ended up finding a picture, so I've marked where the part that you would replace is, and I have a dissasembly guide [link|https://www.youtube.com/watch?v=vrjoiH5LS3g|here].
You'll probably have to replace the bluetooth adapter. It's usually a little tiny card that looks like [link|https://www.google.com/imgres?q=thinkpad%20t510%20bluetooth%20adapter&imgurl=https%3A%2F%2Fi5.walmartimages.com%2Fseo%2FLenovo-Thinkpad-T510-T520-Bluetooth-Card-60Y3271_a60077c1-d5dd-46d6-855c-09e4f4769ee9.60081ec436fb046b4d28a1ad17cb9963.jpeg%3FodnHeight%3D768%26odnWidth%3D768%26odnBg%3DFFFFFF&imgrefurl=https%3A%2F%2Fwww.walmart.com%2Fip%2FLenovo-Thinkpad-T510-T520-Bluetooth-Card-60Y3271%2F1847333610&docid=pBvUke4le-XkSM&tbnid=-zYd_DqkecSkqM&vet=12ahUKEwiZ27Letf-IAxVRRDABHbsKI-MQM3oECGsQAA..i&w=768&h=768&hcb=2&ved=2ahUKEwiZ27Letf-IAxVRRDABHbsKI-MQM3oECGsQAA|this]. I found a video of someone trying to replace the adapter on a similar model, and I'm guessing you would need to follow the same process, but I'm not sure whether the adapter would be located in the same place. If you'll take some pictures of your laptop, I'll give you step-by-step instructions on what to do.
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You'll probably have to replace the bluetooth adapter. It's usually a little tiny card that looks like [link|https://www.google.com/imgres?q=thinkpad%20t510%20bluetooth%20adapter&imgurl=https%3A%2F%2Fi5.walmartimages.com%2Fseo%2FLenovo-Thinkpad-T510-T520-Bluetooth-Card-60Y3271_a60077c1-d5dd-46d6-855c-09e4f4769ee9.60081ec436fb046b4d28a1ad17cb9963.jpeg%3FodnHeight%3D768%26odnWidth%3D768%26odnBg%3DFFFFFF&imgrefurl=https%3A%2F%2Fwww.walmart.com%2Fip%2FLenovo-Thinkpad-T510-T520-Bluetooth-Card-60Y3271%2F1847333610&docid=pBvUke4le-XkSM&tbnid=-zYd_DqkecSkqM&vet=12ahUKEwiZ27Letf-IAxVRRDABHbsKI-MQM3oECGsQAA..i&w=768&h=768&hcb=2&ved=2ahUKEwiZ27Letf-IAxVRRDABHbsKI-MQM3oECGsQAA|this]. It's a bit difficult to explain how to replace without being able to see it, and there aren't any teardowns of the laptop that I can find, so if you'll take some pictures of your laptop, I'll give you step-by-step instructions on what to do.
You'll probably have to replace the bluetooth adapter. It's usually a little tiny card that looks like [link|https://www.google.com/imgres?q=thinkpad%20t510%20bluetooth%20adapter&imgurl=https%3A%2F%2Fi5.walmartimages.com%2Fseo%2FLenovo-Thinkpad-T510-T520-Bluetooth-Card-60Y3271_a60077c1-d5dd-46d6-855c-09e4f4769ee9.60081ec436fb046b4d28a1ad17cb9963.jpeg%3FodnHeight%3D768%26odnWidth%3D768%26odnBg%3DFFFFFF&imgrefurl=https%3A%2F%2Fwww.walmart.com%2Fip%2FLenovo-Thinkpad-T510-T520-Bluetooth-Card-60Y3271%2F1847333610&docid=pBvUke4le-XkSM&tbnid=-zYd_DqkecSkqM&vet=12ahUKEwiZ27Letf-IAxVRRDABHbsKI-MQM3oECGsQAA..i&w=768&h=768&hcb=2&ved=2ahUKEwiZ27Letf-IAxVRRDABHbsKI-MQM3oECGsQAA|this]. I found a video of someone trying to replace the adapter on a similar model, and I'm guessing you would need to follow the same process, but I'm not sure whether the adapter would be located in the same place. If you'll take some pictures of your laptop, I'll give you step-by-step instructions on what to do.