One idea could be to create a crossover where Kagome somehow gets transported to the Naruto universe. Maybe she could use her spiritual powers from Inuyasha to interact with the chakra-based powers in Naruto. For example, she might help Naruto understand a different type of energy system, which could lead to new jutsu development for him.
You could also make Kagome a sort of mediator between different ninja clans. Given her experience with different species and groups in her own world, she could use her diplomatic skills to ease tensions between clans in Naruto. For instance, she could help the Uchiha and the Senju clans understand each other better, which could change the course of the story in the fanfic.
The combination of different power systems. Kagome has her miko powers from the Inuyasha series, and in a Naruto fanfic, seeing how those interact with chakra and ninja abilities is really interesting. For example, her purification powers could be used in new ways against ninja - related threats.
I'm not sure specifically about 'naruto kagome lemon fanfic'. But there are many Naruto and Inuyasha fanfic communities where you can search. However, keep in mind that some fanfics might not be of high quality or might deviate a lot from the original characters' essence.
Well, if we assume such fanfics exist without the inappropriate 'lemon' aspect, a common theme could be the meeting of two different worlds. Naruto's ninja world and Kagome's feudal Japan - like world in Inuyasha. They might explore how the two characters with their different powers and personalities interact and team up.
In the Naruto world, Kagome would bring her knowledge of sacred jewels and purification. This could be useful in dealing with cursed objects or dark chakra. She may also encounter difficulties in adapting to the ninja culture which is different from her own feudal Japan. However, her determination would likely drive her to learn and contribute to the Naruto world in her own way.
A lesser - known but really good 'Kagome Naruto fanfic' is 'When Kagome Met Naruto'. This one focuses on the initial encounter between Kagome and Naruto. It shows how their different personalities clash at first but then gradually they start to understand and respect each other. It has a lot of humorous moments and also some touching parts that show the growth of their friendship.
The power system in Naruto is one factor. The idea of chakra and how it can be manipulated in various ways is quite experimental. It allows for a wide range of abilities and combat styles. Also, the character arcs often deviate from typical hero - villain dynamics. For example, some characters have complex motives that are not simply good or bad.
When Kagome meets Hinata, she could see Hinata's shyness and determination to become stronger. Kagome would probably encourage her. And with Sakura, they could have an interesting relationship. Kagome might teach Sakura some new ways of using energy for healing, while Sakura could show Kagome the more scientific aspects of the ninja medical field. Also, Kagome would be curious about the various jutsus that all the characters possess and would likely ask a lot of questions.
The story would also change in terms of Naruto's relationships. His friends like Sasuke and Sakura would be very concerned and might try to stop him. This could lead to a rift between them. Naruto might gain new powers faster, but at a cost. He could start to lose his connection to his normal self and the Nine - Tails inside him might react negatively to the experiment.