There might be a fraction of an answerable question here, which I will set forth, but no realistic prospects for answering it. The question would be "What aspects of pronunciation in an unfamiliar language are most strongly associated by listeners with the evaluation 'awesome and glorious'?" One part of the research would involve constructing conlang samples with various phonetic properties (I'm also assuming, unreasonably, a huge supply of trained bodies to actually produce the speech; or, next-gen Klatt synthesis that doesn't sound like Dennis Klatt). The second part is framing the question: you need at least two choices (e.g. "awesome" and "whimpy", or whatever). Don't think that the choice "awesome" actually means that people think it's awesome, it's just the only alternative to "whimpy".
Actually framing the question is an insurmountable impossibility, in its interaction with the final issue in framing the question: identifying the population. Awesome according to whose standards? Without any qualifications, you'd need to sample young American boys, old American women, old Norwegian musicians, middle-aged Egyptian (Arab) engineers, and so on. I'm betting that the strongest determinant of the "awesomeness" judgement is the native language of the subject. The second strongest determinant would be personal ideological matters that you simply would not code for in the demography survey (how many people out there think Elvish is "awesome"? Anybody?). The population is huge and a valid sample is simply impossible. But wait: what is the Mongolian word for "awesome", and what is the Hmong word for "awesome". You can't ask a Mongolian monolingual speaker if Dothraki is "awesome" – he's just say "Юу мэдмээр байна. Яагаад би энд байгаа вэ?" or something like that. Also, in California speak, "awesome" means "uh-huh", unlike in my dialect where it means "wonderous, awe-inspiring". The premise that words like "awesome" identify an objective emotional reality is just so false.
That's why the question cannot be answered. If you want to narrow down the population to e.g. "undergrads taking a psychology survey class in the UCal system between 2016 and 2020", you might generate some numbers.