Hi LL,
There are no income tax implications on the receipt of a cash gift unless the cash gift generates interest or dividends.
These would then potentially be subject to tax.
Further guidance can be found here
https://www.gov.uk/apply-tax-free-interest-on-savings and
Tax on dividends).
You do not need to provide documents for HMRC.
We cannot confirm whether you will have any problems.
Thank you.