Consider the case of two positively charged bodies, with gravitational forces similar to the electromagnetic repulsion, orbiting each other. The particles have to be travelling not on the same line to enter this system (eg opposite parallel paths), and we find the angular momentum for the orbiting situation comes from that, the ‘seesaw’ motion around their combined centre of mass.
Particles have electromagnetic properties which produce forces many orders of magnitude higher than gravitational, but all the forces momenta & potentials do always interact. There is no ‘pure’ electrostatic object. When you go beyond 2 bodies, and include magnetism, all kinds of strange things can happen. Have a look at pictures from cloud-chamber particle detectors.
Also, consider a delocalised electron - perhaps interacting with a hole in a semiconductor layer, to preserve having the same charges: It cannot be simplified like in your diagram, because the angular momentum of the electrons is 'smeared out’ through the conduction band.
This is about idealisations. The other idealisation, is nice neat spheres, like particles. What if they aren't: like say two negatively charged molecules, that have rotational energy. Changes in the rotation of the molecules, speeding up or slowing down, or changing the angle of tumbling, or adding momentum around another axis in the molecule, could give all different bounce directions. It's normal to deal with dynamics of spheres in particle mechanics, and gravitation. What that really means is asymmetries are small, compared to the size of the interaction being looked at. Quarks stop protons being points, Earth bulges in the middle and is lumpy. When something can be treated as a sphere, symmetry says it’s like all the forces act at the spheres centre, because that is where everything averages - but beware when that doesn’t hold.
Big picture, what you are asking about is symmetries, and it quickly gets you into our deepest ideas in physics. Why can particles only have curving interactions when they approach off-centre, and only linear interactions (where idealisations hold), is a deep question. Noether’s theorem relates conservation laws, like conservation of rotational momentum in this case (ie, if it starts at 0, both on same line, stays at zero), to continuous symmetries: these are generalisations of these 'little symmetries’, to the whole system, or to the universe itself. A lot of people think the total of important quantities like momentum and energy for the universe as a whole, will be zero. Occasional violations of symmetries/conserved quantities are key to the frontiers of physics, like charge-parity-time (CPT) violations, & CP violations that explain why there is more matter than antimatter.
Asking simple questions, and really digging until you get answers you are satisfied with, is key to really doing physics. Many important results came from people not satisfied with prevailing wisdom. If you really follow this question you will cover some of the deepest physics there is. Don’t let people fob you off! Keep digging. Keep asking simple questions, with tenacity.