Gowdy was of the same mind, namely, that she waived her rights. The only difference is Gowdy wanted her testimony today, but Issa did not want to waste time when there was better, fresher meat at the table in front of him, along with an opportunity for a slow grilling at a later date.
My question is whether she could have been declared in contempt of Congress today and immediately placed into (protective?) custody - which might have been preferable.
Whether Issa completely knew what was going on may be up for debate, but Gowdy obviously did - even using Cummings' own words against him. Well played.