We can believe what we choose. We are answerable for what we choose to believe.
Attr. Blessed Cardinal Newman
Memed-up a bit but more or less accurate. It comes from a June 27, 1848 letter to Mrs. William Froude, sister-in-law of his late friend Hurrell Froude. Mrs. Froude with struggling with a decision to convert to Catholicism. The whole letter is on pp. 227-229 of Vol. XII of Newman’s letters, which exists online only as a PDF, as far as I can tell.
The second sentence of the meme is only the first half of Newman’s sentence. Here’s the full thing: “We are answerable for what we choose to believe; if we believe lightly, or if we are hard of belief, in either case we do wrong.”