I think you need to look into employment law and your rights, even if you decide not to stay in this job
In a nutshell are IF you an employee (not self employed /agency worker)
Time off for Dependants gives employees the right to take a reasonable amount of unpaid time off work to take necessary action to deal with particular situations affecting their dependants. Employees are entitled to this right from their first day of employment. The right comes from s 57A of the Employment Rights Act 1996. Employees who use this right are protected from dismissal or detrimental treatment for taking statutory time off for dependants.
The law allows you to take reasonable time off in five types of situations. These are when it is necessary:
- To provide assistance if your dependant falls ill, gives birth, is injured or assaulted
You must notify your employer as soon as practicable the reason for your absence and how long you expect to be off work.
you have No right to be paid (some places do pay, check your benefits package before signing up!)
The time off needs to be necessary and reasonable in the circumstances. For example, if you are part of a couple or the other parent is active in the care of your child, the time off that is reasonable in the circumstances would take into account the fact that there is another person to share the care. (You have said this is true in your situation)
- Is it the first time you’re asking for time off for dependants? If not, how often have you taken time off for dependants before and for how long? (Although there is no limit on the number of times you can use time off for dependants if it is reasonable and necessary)
Disruption or inconvenience caused to the employer’s business should not be taken into account when determining how much time off is reasonable to deal with the emergency or unexpected circumstance involving a dependant.
https://workingfamilies.org.uk/articles/time-off-for-dependants-leave/