All candidates claim they will "negotiate" with rougher countries. In American politics, we enjoy the idea we would consider trying not to bash another country or threaten it or just outright work against them. Few presidents have ever really kept that up since it requires the other country to work with us, and generally bad relations aren't smoothed over quickly via new presidency.
Though, to be fair, American perception increased among foreign leadership when Obama was elected because of the disastrous relationship Bush had with the world.
Honestly, Russia will always be alienated by us so long as Putin is in charge and setting policy the way he is (weird as I just said leadership doesn't change relations too much, but Russia is very different). Trump will defer to his advisory committee, who will advise him to basically stay the course with Russia who is harassing our naval fleet routinely and aggressive on borders which in turns ruffles the feathers of our vital allies in the region. So either Trump relents and lets Russia does as it wants and alienates a lot of our European allies (and definitely Japan), which would in turn would also require him to be passive of China, which will again piss off our allies in Japan and Europe. Or... Trump continues to stand strong against Russia both economically and military wise in solidarity with our vital allies, which is what causes Russia to be against us in the first place, and worsens relations with them. The difference being we STILL have strained alliances in Europe for a continent that doesn't really care for Trump or his condescension. If there's one thing we know about European leaders and support? We know they're not huge fans of bombastic American leaders telling them what to do like they're dumber countries and then said leader getting mad at them when the countries don't do what were told.
The biggest difference there is: Clinton already has strong diplomatic ties with many European and Asian countries of whom she made record breaking visits in during her tenure as Secretary of State, cementing the idea that even if she's not exactly personable, she is knowledgeable in international relations on a political and militaristic level. Something Trump has yet to do as even his campaign has other countries groaning at all.
We can be friendly with Russia and China all we want, but we won't get much from them other than maybe relaxed tensions (which definitely won't happen at their expense). What we lose is a lot of support and good will with other countries, and their cooperation is vital for us when it comes to global economic and political communication.
Think of it like this. Let's assume people don't really trust PoPs to run TMF. PoPs and Rax don't get along and PoPs is running for election of Grand Master of TMF. Rax is a fictional secondary forum I guess. PoPs is friendly with the rest of the staff, but the forum on a whole doesn't trust he will make the best leader. Our other option is to put Jowy in charge of the forum because we believe he can get along with Rax because he says he can. Rax likes it because Rax doesn't like PoPs at all, and so he's chummy with Jowy. While it might work some with Rax in the long run (reduced effectiveness because we know Rax will never NOT be Rax), we can safely assume he bombs any cooperation with the rest of the staff or the forum as a whole.
We can even say a PoPs vs Jowy would have a similar effect on the greater part of TMF's functionality as a whole. We rely on PoPs to effectively maintain and coordinate with the Staff to keep the forum humming along (and we've seen what happens when he's not present to give the quick orders), where we know Jowy doesn't possess the same skill nor does he possess the same effectiveness in levying the staff to make things work. Where PoPs would engage with the staff, make suggestions, and pull in recommendations? Jowy would just straight tell the super mods and mods to fix their own problems, fail to organize them, alienate the ones who are capable of fixing things (Goodbye to Y and his ability to fix the forum), and in general not worry too much about how the forum is run so long as it's limping along. Unlike a country, TMF would collapse since there's very few layers between PoPs and a desolate forum, requiring him to keep engaged. Trump offers a very similar idea. A likeable funny figurehead is great, but it's not enough.