This order is reportedly much like or almost identical to a draft order that circulated in early February (details here).
According to Politico, Vice President Michael Pence and anti-LGBT hate groups have been pressuring Trump to sign the order. Pence attempted to do this while governor of Indiana, and the spectacular disaster blew up in his face, and likely would have led to his defeat when he ran for reelection, had Trump not picked him.
Trump's proposed order, if signed, would arguably be as draconian -- or even worse -- than Congress's fraudulently named "First Amendment Defense Act," which similarly would allow anti-LGBT discrimination.
When news broke of Trump's proposed order back in February, a number of legal experts told the media they expected federal courts would block the measure from taking effect.
If Trump signs the order this week, he will reveal himself to be profoundly anti-LGBT. He will prove that the rainbow flag promise was yet another bald-faced lie.
Coincidentally, or perhaps not, right now the United States Supreme Court is considering whether to take an appeal of a Colorado bakery's case, known as Masterpiece Cakeshop, where a baker claimed he had the right to refuse to make a wedding cake for a same-sex couple (details here).
If the Supreme Court justices decide to hear the Masterpiece Cakeshop case, they would likely decide the matter sometime between October of this year and June of next year, which could resolve this issue once and for all.
Considering the ideological mix on the Supreme Court right now is 5-4 in favor of LGBT rights, let's hope they do decide to take the case. Otherwise, if one of the pro-LGBT justices were to retire or leave the bench and the matter is not addressed by the high court before then, a new Trump nominee could tilt the court in a 5-4 anti-LGBT majority.