Definition of "apologetically"

“Do I fidget you ?” he asked apologetically, whilst his long bony fingers buried themselves, string, knots, and all, into the capacious pockets of his magnificent tweed ulster.

1904–1905, Baroness Orczy [i.e., Emma Orczy], chapter 1, in The Case of Miss Elliott, London: T[homas] Fisher Unwin, published 1905; republished as popular edition, London: Greening & Co., 1909, OCLC 11192831, quoted in The Case of Miss Elliott (ebook no. 2000141h.html), Australia: Project Gutenberg of Australia, February 2020