This definitely sounds like an internal chapter issue. If you feel strongly about this, you should talk to your sisters. Every chapter is different, but the one thing that we should all have in common is the love of Tri Delta ideals. Part of loving what Tri Delta stands for is protecting her image - which generally doesn't involve posting negative things about the sorority or a specific chapter of the sorority on a public website.
Tri Delta stands for a "perpetual bond of friendship" and yes that means inter-chapter friendship as well. Im sure that every Tri Delta here on Greek Chat is eager to help you with positive, chapter building ideas. We love to talk about ways to improve our philanthropy, unity and sisterhood. Interchapter politics should be kept within your chapter, however, because only you have the power to make a difference within your chapter.
"Image" is important to every GLO - and I'm not talking about the superficial image (hair, makeup, clothing etc). I am talking about the image that includes the way we present and conduct ourselves. Part of our goal as a Tri Delta is to develop a more womanly character. Stand up for Tri Delta and work hard to protect her image any way that you can.