Many thanks for your patience, I am pleased to be able to continue assisting with your query now. First of all, I am sorry to hear about this situation and any associated issues.
This could indeed potentially amount to constructive dismissal, which occurs when the following two elements are present:
- A serious breach of contract by the employer; and
- An acceptance of that breach by the employee, who resigns in response to it.
Whilst the alleged breach could be a breach of a specific contractual term, it is also common for a breach to occur when the implied term of trust and confidence has been broken. This is an implied term, of a contractual nature, which automatically exists in every employment relationship. It is there to ensure that the employer and employee treat each her fairly and reasonably. The breaches that could qualify could be a serious single one, or a series of less serious, but still relevant breaches over a period of time, which together could be treated as serious enough (usually culminating in the 'last straw' scenario).
So the baseless threats of making false allegations to the police against you can be used as a serious breach of trust and confidence, resulting in constructive dismissal. Obviously, until you have made a claim and a decision has been reached you will not know if you will be successful, but there are certainly grounds to justify making such claim.