Yomei Nikagetsu no Isekai Kenkouhou

Yomei Nikagetsu no Isekai Kenkouhou summary:

Meet Kaichi Takemura, aged 82. Owner of the Takemura Dojo and master of the Churyu Akai-Jutsu martial arts, he is now wheelchair-ridden due to severe lung cancer. He is estimated to only have two months left to live.
Realizing his time on this earth is ending, Takemura creates a bucket list of things he wants to do before then, which he shares with his nurse Tokiko Tanaka. However, one day his illness flares up, and Tanaka wheels him to the nearest doctor as fast as she can.
When he comes to, he finds that the two of them aren’t in the emergency room of the hospital. In fact, it doesn’t seem like they’re in Japan at all…