Most of the energy a plant produces via photosynthesis goes to this apical or terminal bud. When those tips are cut off, the energy goes back down the branch to neighboring buds and the rest of the plant.
This is called 'heading' in the pruning world. Heading a shrub means cutting off mostly these powerhouse apical tips causing the energy to be diverted into the entire plant.
Cutting off flowers is similar. Cut off the drainers of energy and that energy goes into making the parent plant stronger, healthier, more disease resistant. More floriferous.
The foliage of the right bud in the picture is vigorous and healthy. It is superseding the other bud. A good thing as you need to continue to promote outside buds, not buds growing into branches or leaves that travel to the center of the plant.
I think I see a new bud at the bottom of the main trunk. You should be getting a new branch there as well.
Cutting the 'head' off a plant is a good way to starve a plant. Shows how robust some plants are. The green leaves make the food the plant has to have for all functions of growth, storage and reproduction. Tip plants only when there is enough photosynthetic growth to take care of the plant. Plants get stressed when they are unable to make the food, the carbohydrates they need to survive. Most plants cut this far back die.
Leave your plant alone for now. Have you applied any fertilizer, a balanced fertilizer? How did your plant look before you cut it's 'head' off? Grins. Make sure your plants gets enough light, enough chemistry to be able to do photosynthesis, has enough leaves or factories to make the energy source for the plant to survive, watered correctly for the plant's needs, and all plants planted in pots need sterilized cheapo potting soil.
Did you put rocks beneath the soil and above the drain hole? All pots need drain holes and just plain sterilized potting soil. No rocks or gravel below the soil.
I just now also noticed another bud coming straight at the camera between the other two buds. If there isn't enough light or chemistry to support more growth more growth won't happen.
This plant is still alive! Be happy. Tell us more about the environment, the soil (is this potting soil, sterilized potting soil or not), your watering habits, why did you cut off the leaves of this plant in the first place, were they not healthy looking? What have you added for fertilizer? How much light is your plant getting? Do you happen to have a covered porch or patio? Where on this planet do you live?
The other kind of pruning is called thinning. This is to maintain the natural form of a plant, enhance air flow, reduce fungal disease.