I was raised Baptist, now Catholic. I married a Catholic but didn’t convert for 10 years. It took me THAT long to get all my questions answered and actually see that Catholicism is based on Scripture. Just remember, they may not be questioning YOUR beliefs as much as questioning their own. They may be asking themselves…”If she (you) is such a smart, nice, friendly, gal and SHE (you) believes in this stuff, maybe it’s worth checking out… you never know, someday they may convert. I prayed for years that God would show my husband how “wrong” he was and I tried to find many arguments against Catholicism. In doing so, I discovered that I believed in what the Church believes and couldn’t wait to convert.
Good luck and keep your chin up!