To what extent should emotions be considered in our understanding of intelligence?

I think that emotions are a very basic part of intelligence, and should therefore be fully considered next to other types of intelligence. By definition, intelligence is "the ability to learn or understand or to deal with new or trying situations" (Merriam-Webster), and as we use emotions in our everyday lives to understand situations, they are a part of intelligence.
Furthermore, just like other parts of Intelligence, EI can be measured reliably by tests. Similarily to IQ tests, where problems in Math and Analytical questions are posed, in EI tests, emotional problems are presented to the test-taker (e.g. identifying emotions). These tests have been developed by Dr Caruso, Mayer, and Dr Salovey. Also, IQ tests have been proven to be filled with flaws and consequently a faulty predictor of success, resulting in that EI tests might even be a better predictor of success.
Aditionally, Mayer argues that there is both popular acceptance and empirical evidence that EI broadens our understanding of "what it means to be smart" , of astuteness, acuteness, and therefore, of Intelligence. Studies have shown and it is becoming a part of common knowledge that there is a high degree of information processing going on in emotionally active people (popularly referred to as "romantics" and "highly sensitive".

To sum up, it has been proven that it is very important in success to be aware, identify, and be able to control emotions. In certain fields it is considered to be one of the most important skillsets. Up until this point however, only other parts of Intelligence were measured (IQ tests) and grown in school. Emotion was not measured and most traditional schools do not teach students how to deal with emotions (instead they teach how to deal with Mathematical problems, etc). It is time for a change. Intelligence has also been developed. We understand way more of intelligence than 100 years ago. The concept of what it means to be intelligent has changed over time, developed. Therefore, emotions should be considered in our understanding of intelligence.