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Firstly, remember that notice is affected when served, so provided you served it in an adequate manner that is all that matters. With the Notice period currently being 2 months for a residential property, you will still need to pay any rent that is due prior to your leaving the property - if not, then be prepared for this to be deducted from your deposit.
Unfortunately there are no laws in place protecting tenants from payment of rent due to Covid-19, however, the government are keeping a close eye on this and do aim to make some drastic changes in the near future. In the meantime please view the following link and download the 'guidance for landlords and tenants' -https://www.gov.uk/government/publications/covid-19-and-renting-guidance-for-landlords-tenants-and-local-authorities
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