Is it permissible to obtain a credit Visa card from a non-Islamic bank, while being careful to repay in order to avoid interest, due to extreme necessity because of the difficulty in obtaining one from Islamic banks, and what are the controls if this is permissible?

It is permissible for you to obtain a credit card from an interest-based (riba-based) bank if there is an urgent necessity, and if a card from an Islamic bank is not available, provided that you commit to making payments on time to avoid interest-based (riba-based) charges. It is preferable to pre-load the card with funds to avoid borrowing. You must relinquish it when the need ceases or when an Islamic alternative becomes available.