Trust your readers to figure out that what’s going on is important. It really is crucial that you have faith in your readers’ ability to understand what’s going on without it being shoved in their face. If you try too hard, your readers will be able to tell you don’t trust them to figure it out on their own, and that can be pretty annoying.
Keep in mind that you wouldn’t be writing about it if it weren’t important in some way, so they’ll be looking to find out what makes it important. You can convey that it’s a big thing for the character by showing what the character is going through, how they are feeling, and even by giving them particularly unusual reactions to the situation. If you feel the need, you can contrast their reactions with the reactions and feelings of other characters in the same situation in order to show what a big deal it is to them.
Be sure you cut extraneous, unnecessary information as well so the readers know exactly what to focus on. Pushing too much stuff at them is just asking for them to miss out on the important things as they try to figure out and process what really matters in your story.
In short - drop clues, cut fluff, and rely on your readers as well as your own storytelling ability to convey what situations like these mean for your characters.
Then, just to be sure you got it right -
Ask friends and family to read the scenes WITHOUT telling them what it is you were trying to convey. Ask them to tell you what they thought about it, and what they took away. If they didn’t get it right, then you as a writer have to go back and figure out how to refine what you’ve written to emphasize those points.