Second, will the community accept converts as Jews?
To the first question the answer is a resounding YES. If you simply live a Jewish life, doing Jewish on a daily basis it will become who you are. There’s a good chance that it will take a few years. But it takes years to absorb a new language, get to know a new friend, learn a new skill. So don’t be discouraged, enjoy the process.
The second question is more difficult. Some born Jews will never accept the idea that a person can convert/become Jewish. For those who have less of a Jewish education and Jewish life, being a born Jew may be all the claim they have to being Jewish. They may not want others to “get to be Jewish” because it feels threatening to their own identity. Other Jews have much knowledge of rabbinic teaching and don’t accept that Judaism had accepted conversion since its inception.
Therefore, it may be hard in some Jewish environments to be affirmed as a Jew when you are a convert. If you find this to be the case – you are in the wrong place. That is not the synagogue or organization for you. Your sponsoring rabbi should be able to put you in touch with a community that is welcoming of converts.
In a class I attended an Orthodox rabbi was asked, “Are there any converts who are members of your synagogue?” He replied, “Yes! Any synagogue that does not have converts is not a real one because it would not include our ancestors Abraham and Sarah who were converts to Judaism.”