There has been much heat and debate which seems to be primarily the result of differing assumptions of what the obligation of a Jew towards a ger.
In this post I will cite sources which illustrate what this means in practise. None of the sources indicate that one can not disagree with a ger or need to avoid giving a ger rebuke. 1) indicates that one shouldn't opress the ger because they have a greater propensity (yetzer harah) to sin and give up mitzvos 2) In the hierarchy of saving the life and providing food and support - the ger is at the bottom of the list with the freed slave. 3) There seems to be an emphasis that there feelings are more easily hurt because of their change of life i.e., they are strangers and they have lower self esteem. This seems to be similar to be careful with the feelings of women because they readily cry and G-d responds readily to tears. 4) As cited before Berachos (8b) cites a view that one should not marry a giyorus
Bava Metzia(59b): It has been taught: R’ Eleazar HaGadol said: Why did the Torah warn in 36 places – while others say in 46 places – against wronging a convert? It is because he has a strong inclination to evil [Rashi Horios 13a]. What is the meaning of the verse (Shemos 22:20): “You shall not ridicule a ger (outsider), nor oppress him; for you were gerim (outsiders) in Egypt?" It has been taught: R’ Nosson said that one should not ridicule another with the blemish you yourself have. This idea is expressed in the folk expression “If someone had a family member who was hanged one should not say to him, ‘Hang up this fish for me.’”
Horios(13a): Mishna Saving the live of a cohen takes precedence over that of a levi while a levei takes precedence over a yisroel, the yisroel takes precedence over a mamzer while a mamzer takes precedence over a nasin and a nasin takes precedence over a ger and a ger takes precedence over a freed slave. This hierarchy is only valid if they are equal in other respects however if the mamzer is a talmid chacham and the cohen gadol (high priest) is an ignoramous then the mamzer talmid chacham has precedence over the ignorant high priest. Gemora – A nasin takes precedence over a ger since the nasin the nasin was raised with us in holiness and the ger was not raised with us in holiness. A ger takes precedence over a freed slave for the slave is included in the curse while the ger was not… It was taught: R’ Shimon bar Yochai said it is logical that the freed slave should in fact take precedence over the ger for the slave was brought up by us in holiness and the ger wasn’t, however since the slave was included in the curse and not the ger – the ger takes precedence. R’ Eleazer the son of R’ Tzadok was asked, “Why do all want to marry a giyorus but not everyone wants to marry a freed maidservant? He answered that the maidservant was included in the curse while the giyorus was not. Another explanation is that the giyorous is known to protect her chastity while the maidservant is not…
Shulchan Aruch(Y.D. 251:9): If a person has many poor people who need help but he doesn’t have enough funds to feed them, giving them clothing or redeem all of them – then he should first take care of the Cohen and then the Levi. The Levi is taken care of before the Yisroel, the Yisoel comes before the Challal who comes for the Shetuki who comes before the Asufi who precedes the Mamzer. The Mamzer takes precedent overthe Nesin and the Nesin takes precedence over the Ger while the Ger takes precedence over the Freed Slave. When is this hierachy applicable? When they are all equal in knowledge but if the Mamzer is a talmid chachom while the Cohen Gadol is an ignoramous then the preferences is given to the Mamzer who is talmid chachom…