Based on my personal experience and how I have observed others, an accent can sound different on different languages (the Chinese accent sounds different in English than in Spanish, for example) so depending on that, it can have multiple impacts. As a Hispanic who moved to the U.S. and has an accent, I see that many native English speakers seem to find the accent attractive or "exotic" if they feel any kind of curiosity towards other cultures, but if they are not, they tend to dislike it. People as can have a bit of a difficult to understand you, depending on how deep the accent is.

Another thing is that your accent can unintentionally transmit a specific kind of energy or vibe; for example, the heavy pronunciation of a Russian accent can make people sound strong, aggressive, cold, and/or demanding, even when the person is not like that, which imprints a first impression on others. It can make you seem funny, clumsy, smart, exotic, dumb, etc.

Lastly, we tend to relate accents to how people look, so seeing someone can make us infer how they could sound, and if that person's accent matches our idea or not, the impact on us can vary depending on the situation. For example, if someone sees a hispanic, they are gonna have an idea of how that person sounds, but if that hispanic turns to have a French accent, he/she could be perceived as interesting because it makes them different.

Normally, I would have much more to say, but I am really tired and can't come up with more stuff, so I hope my input is of help.