The lyrics are not angry and/or jealous. the narrator is begging Jolene to let go of 'her man'. In this song, Jolene is an actual person rather than just "another woman".
Dolly explaining her powerlessness. “my happiness depends on you” “whatever you decide to do”. The other woman has power (she has seductive ability to lure men from their homes) she also has time to perfect femininity in her home. In "The Other Woman", the wife has legal/social claim to the man even though he way stray, in the end, she comes to the conclusion that she has the power.
In Jolene, there is no ambiguity, she is a goddess, no mention of the man ever stopping finding her attractive. She is the embodiment of a perfect woman. Jolene has a name, whereas the narrator does not, adding to the reinforcement of the power dynamics.
Racial dynamics and sexual dynamics make the song more open to criticism. this is a time when gender roles which were more prevalent in society were more traditional and sexist. this is also a time when in US segregation is still law, means relationship between singer and audience is strange because although they don't have equal rights in society, you are inferior as they are singing to you/ for you. perception of celebrities today are totally different, for instance Lana Del Rey. Problematic point of view.
Narrator(wife or GF) is directly addressing a woman who she knows. She’s talking to her by name, audience assumes a classic love triangle situation. The women are suspected to have history.
Both songs deal with the archetype of sexual infidelity. i.e. cheating husband, jitted woman, other 'perfect' woman.
Beauty is the key to power. Joleen gets more power because of her beauty, which is natural in comparison to "The Other Woman" who has to curl her hair and assert her femininity to be beautiful. For Joleen; there is no domestic setup, she is just a goddess that is loved and represents the perfect woman.
For a female, the narrator has paid a lot of attention to Jolene’s appearance, Jolene is idolized by her. She doesn’t try and assert her power and deliberately places herself in subservient position. She wants Joleen's attention, which is an interesting aspect of the song.
In not knowing what the other woman actually looks like and simply knowing her accessories, we learn that she is a cosmetic performance of beauty. In this case, the other woman. She is jealous that the "other woman" has time to create an artificial world of escape for the other husband since she is not tied down by domestic setup.