cross to bear

東野圭吾の "JOURNEY UNDER THE MIDNIGHT SUN" を読んでいます。

Their beer bottles drained, Koga ordered some sake. Sasagaki started on his stew. The miso flavouring was a Tokyo thing, but he found it pretty good all the same.
The sake arrived and Koga poured some into Sasagaki's cup, saying, 'So, still on about that old case?'
'It's my cross to bear.'
'Why this one? There are other unsolved cases out there. And this one stands a good chance of actually being unsoluvable. What if that guy who died in the traffic accident was the killer? That seemed to be the prevailing opinion in the department.'

"The miso flavouring was a Tokyo thing" とこの様に "thing" を使えるのですね。　しかし、今日取り上げるのは "cross to bear" の方です。　"cross to bear" の項目で説明している辞書もありました。

・Merriam-Webster's Online Dictionary: a problem that causes trouble or worry for someone over a long period of time: The loss was a heavy cross for her to bear.
・Wiktionary: (idiomatic) A problem, or unpleasant or painful situation or person that you have to accept and deal with, although you find it very difficult, or it causes trouble or worry for you over a long period of time.: We all have our crosses to bear.

キリスト教信者ではありませんが、"We all have our crosses to bear." には残念ながら同意せざるを得ません。