Let’s look at important things here –
Moon - Moon represents Mind, Emotions, Mother, Local Government, Peace of Mind, Home Environment, Water, Milk etc.
Pushya - Pushya is nakshatra of nourishing and taking care of people without any selfish interests. It is closely connected with adoption and child care due to mythological story involved. For more information on Pushya Nakshatra, please check this link - https://www.astrosaxena.com/pushnaksh .
Cancer - As Pushya is a part of Cancer, Cancer sign and its representations become important. Cancer is 4th sign of Zodiac Belt, hence it represents the things represented by 4th house like Mother, Mother's Care, Emotions, Taking Care of Others and Nourishment etc. Cancer is consisted of 2 and half Nakshatras namely Punarvasu, Pushyami and Ashlesha. Cancer's lord is Moon, which again represents almost same things which Cancer and 4th house represents.
Moon - As Moon rules Cancer, Moon's position and dignity is important to know about the overall functioning of any planet in Pushya/Cancer.
Saturn - As Pushya is ruled by Saturn, Saturn's position and dignity will also have an important role in functioning and results of any planet in Pushya.
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 Pushya Nakshatra – Now, when Moon is in Pushya Nakshatra which is coming after Ardra & Punarvasu, we are moving a step forward in rehabilitating people and this nakshatra also gets connected with healing and health care. Now, if we see then Moon, Cancer and Pushya all represent similar things, i.e. taking care and nourishing others. So, the energies at Sign, Nakshatras and Planet levels are totally aligned with each other. As Moon represents Mind, their mind can be totally inclined towards taking care of, healing and nourishing others. It can be any work like Teaching, Medicine or Food Industry but Medicine side of work becomes most prominent for their career as it directly related with taking care of others and healing others. As I see, the difference between Punarvasu and Pushya can be that in Punarvasu, you can help others by sharing your knowledge as a guide or counselor as it is ruled by Jupiter but as Pushya is ruled by Saturn, one needs to do the actual act of healing and helping others. As Pushya is represented by Cow's Udder, they can be working in child care, foster-parenting and child birth related services. As infidelity is an important part of the mythological story of Pushya, their mind can consider such thoughts and actions. At the same time, as Moon is in Saturn's nakshatra, results of any effort here will be seen after delay, hard work and perseverance. Overall, a good position to heal and serve others.
Role of Moon – As we are trying to interpret Moon only, we need not to look for Moon's position separately.
Role of Saturn - Saturn's placement is important to guide Moon in right direction, being Pushya's lord.
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 Pushya. 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 Pushya can work in a chart.