Without the requested information, I can only provide you with the following general response, which will hopefully still answer your query. First of all, I am sorry to hear about the situation you have found yourself in.
Assuming you are not self-employed and are a worker or employee then you will have the right to receive the minimum wage for the hours that you work. Obviously if you worked 13 hours and only received £47, that will fall well below the minimum wage rates and you have the right to pursue this person for the difference of the money you should have been paid. You can also report them for not paying the minimum wage which is illegal.
Just note however that if you are genuinely self-employed then you have no minimum wage rights and you can be paid anything, as long as it adheres to any agreement you have with the employer.
If you are an employee and want to take this further, The employer’s actions will most likely amount to an unlawful deduction of wages, which is dealt with under the Employment Rights Act 1996.
To take the matter further, the employer should be contacted in writing, advised that their actions are treated as unlawful deduction from wages and/or breach of contract and request that they repay the amount in question within 7 days. State that if they fail to do so, legal proceedings could follow to recover what has been unlawfully deducted.
If the employer does not return the money as requested, the following options are available to take things further:
1. Employment Tribunal - the time limit to claim is only 3 months from the date the last of the deductions were made. Before making the claim, ACAS must be engaged to negotiate with the employer and try to resolve this without the need for legal action. The next steps to initiate this procedure are to contact them, either online by filling in the following form (https://tell.acas.org.uk/find-a-solution-to-your-employment-dispute), or by phone on 0300(###) ###-####
2. County Court – this is an alternative way to claim and the advantage is that the time limit is a much longer 6 years. It is therefore a useful alternative if the 3-month deadline for the Employment Tribunal has been missed. Also, there is no need to negotiate before starting a claim and the claim can also be made online by going to: https://www.gov.uk/make-money-claim.
Ideally, by warning the employer that their actions are unlawful and that legal action is considered, they will be prompted to try and resolve this and return the money with the need to take things further.