What makes a grievance one my employer has to take seriously?
Short answer That it is in writing, specific, and put to the right person without delay.
A grievance carries weight when it sets out what happened, when, who was involved, the duty or policy you say has been breached, and the outcome you are seeking, in writing, to a manager who is not the subject of it. Facts and dates carry the letter; adjectives give the responder something to argue with instead of the substance. Your employer should then arrange a meeting without unreasonable delay, allow you to be accompanied where the grievance concerns a duty owed to you, and give you the outcome in writing with a right of appeal.
Key rule
Where a grievance cannot be resolved informally, it should be raised formally and without unreasonable delay, in writing, with a manager who is not the subject of it. The employer should hold a meeting without unreasonable delay, allow the worker to be accompanied where the grievance concerns a duty owed to them, and communicate the outcome in writing, with a right of appeal.
Source: ACAS Code of Practice on disciplinary and grievance procedures (2015), paragraphs 32 to 45, and Employment Relations Act 1999, section 10
Practical guidance: The right to be accompanied applies where the grievance concerns a duty owed by the employer to you, and the same five working day postponement rule applies. Raising a grievance during a disciplinary does not automatically pause the disciplinary.