This will be up to the judge hearing the case, who will take into account all the circumstances. This will include how serious the infringement was and its impact on you, particularly when assessing the distress you suffered.
If the organisation refuses or is unable to pay, you should ask the court how you can enforce the judgment.
You should also bear in mind that the court can award costs to you or against you in certain circumstances. For example, if you fail to demonstrate you have suffered damage or distress, the court will not award you compensation and could order you to pay the other party’s costs.
Again, we recommend you seek independent legal advice to allow you to consider the risks of bringing a claim.