Samurai in Another World is a Manga/Manhwa/Manhua in english language, ACTION series, english chapters have been translated and you can read them here. You are reading chapters on www.mgeko.cc fastest updating comic site. The Summary is

The strongest swordsman of the Warring States period, transferred to another world. At the end of the Warring States Period, Ginko, the greatest swordsman of the time, was always hungry for a fight to the death with someone stronger than herself. After cutting and cutting and cutting, she finally despairs that there is no one stronger than her in this world, and then she is transferred to another world! Before her eyes - a dragon!