With all the security which love of another and disesteem of him could give to the peace of mind he was attacking, his continued attentions—continued, but not obtrusive, and adapting themselves more and more to the gentleness and delicacy of her character—obliged her very soon to dislike him less than formerly.
…and sipped his coffee in peace over domestic matters of a calmer hue; but Mr. Yates, without discernment to catch Sir Thomas’s meaning, or diffidence, or delicacy, or discretion enough to allow him to lead the discourse while he mingled among the others with the least obtrusiveness himself, would keep him on the topic of the theatre, would torment him with questions and remarks relative to it, and finally would make him hear the whole history of his disappointment at Ecclesford.
There are no more uses of "unobtrusive" in the book.
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The web site has a lot of ads, but they are unobtrusively placed on the far right of the screen.