Override Django's PasswordResetForm to process only one user email at a time and return the token and uid to the view.

forms.py

from django.contrib.auth.forms import PasswordResetForm as BasePasswordResetForm

# noinspection PyClassHasNoInit
class PasswordResetForm(BasePasswordResetForm):
    """A self-reset form for users."""

    def save(self, domain_override=None, subject_template_name='accounts/password_reset_subject.txt',
             email_template_name='accounts/password_reset_email.txt', use_https=False,
             token_generator=default_token_generator, from_email=None, request=None, html_email_template_name=None,
             extra_email_context=None):
        """Override the default in order to return the UID and token for use in the view. This also differs from the
        default behavior by working with one user at a time.

        :rtype: list[str]

        """

        # Get the email. That's why we're here.
        email = self.cleaned_data["email"]

        # Find the user.
        try:
            user = user_model.objects.get(email=email)
        except user_model.DoesNotExist:
            return None, None

        # Generate token and UID.
        token = token_generator.make_token()
        uid = urlsafe_base64_encode(force_bytes(user.pk))

        # Get site info.
        if domain_override:
            site_title = domain = domain_override
        else:
            current_site = request.site
            site_title = current_site.name
            domain = current_site.domain

        # Create the template context.
        context = {
            'domain': domain,
            'email': email,
            'protocol': 'https' if use_https else 'http',
            'site_title': site_title,
            'token': token,
            'uid': uid,
            'user': user,
        }

        if extra_email_context is not None:
            context.update(extra_email_context)

        # Send the email. 
        # noinspection PyUnusedLocal
        try:
            self.send_mail(
                subject_template_name,
                email_template_name,
                context,
                from_email,
                email
            )
        except (SMTPAuthenticationError, SocketError) as e:
            # TODO: Need to deal with email errors.
            pass

        # Return the token and uid for use in the view.
        return token, uid