Let’s look at important things here –
Moon - Moon represents Mind, Emotions, Mother, Local Government, Peace of Mind, Home Environment, Water, Milk etc.
Shatabhishak Nakshatra - It is a nakshatra related with healing and health care. It is related with serving humanity or higher cause. Please check this link for more info on Shatabhishak Nakshatra - https://www.astrosaxena.com/shatanaksh.
Aquarius - As Shatabhishak is part of Aquarius sign, Aquarius and things represented by Aquarius are also important here. Aquarius is 11th sign of zodiac belt, hence it signifies the things and energy related with 11th house of horoscope, such as Gains, Desires, Hopes and Wishes, Large Organisations, Network Circles etc. Besides this, Aquarius also represents Scientific Thinking & Research, Uplifting the Society, Higher Goals & Rewards for all. Aquarius is made of another set of 2 and half Nakshatra, i.e. Dhanishtha, Satabhisha and Purva-Bhadrapada. Aquarius Lord is Saturn & Rahu.
Saturn & Rahu - As Saturn rules Capricorn & Aquarius and Rahu co-rules Aquarius & also rules Shatabhishak, their position and dignity is important to know about the overall functioning of any planet in Shatabhisha/Aquarius.
Houses Involved – Also, we can’t afford to forget the houses involved as a planet can be ruling different houses and sitting in different house for every person as per ascendant and planet’s position. To know overall affect, we have to consider the houses involved as those areas of life are being impacted.
Interpretation of Moon in Shatabhishak Nakshatra – Now, Moon represents taking care of people and nourishing people. So, Moon is closely related with medical or health care related works. Shatabhishak literal meaning is 100 physicians of God. So, Moon in Shatabhishak Nakshatra clearly shows that a person's mind can be inclined towards serving people through health care related activities. Even if they don't take any formal education in medicine or get into medical career, then also they can be naturally good at taking care of others through their basic healing touch or caring approach. As Shatabhishak is in middle of Aquarius, they can be inclined towards serving humanity through any possible way. It can make them very much scientific or technology oriented too. They can have weird or unusual ways of thinking which can be difficult to understand by others. They can be inclined to socialize with others. Again, all these traits can be seen in their Mother too.
Role of Saturn & Rahu - Also, Saturn-Rahu placement is important to guide Moon in right direction, being Aquarius & Shatabhishak lords.
Other Factors – And of course, we need to consider conjunction, aspects, house lordship, house position and dashas etc to know the exact results of Moon in Shatabhishak. So, we always need to take a holistic view of chart rather than just 1 planetary position.
Conclusion – So, this is how I see Moon in Shatabhishak can work in a chart.
Hope this helps. Please post any comment or query you may have.