What if I run out of money before my problems are resolved

When you are paying for your therapy, finding the money can create a double stress. Few of us are so rich that the cost of therapy makes no impact on our finances, but if you are continuing to pay for it that probably means that you are finding the treatment helpful. So you may be anxious not only about continuing to be able to afford it, but also about what would happen if you had to stop your regular sessions.
A change in financial circumstances can sometimes be managed without too many problems. Many counsellors operate a sliding scale of charges and will accept what you can reasonably afford. This means that what you pay can be negotiated and, if necessary, renegotiated. It can also be worthwhile thinking about whether you need to attend so regularly. Maybe fortnightly would do instead of weekly, or once every three weeks instead of every fortnight. Your counsellor is entitled to have an opinion on this as well; he or she may think that once a fortnight is the minimum attendance for you to work on your difficulties, for instance. But it is always worth discussing the issue to see what arrangements can be made. Occasionally counsellors will allow you to pay them later for therapy received now. This can sound like a good idea but may create debts you cannot discharge. There is no simple answer here, but you can ask your counsellor if he or she knows of any alternative sources of support for you.
It is possible to be angry with a counsellor when he or she cannot help you reduce costs, and you may feel your counsellor does not care about you or your situation. But counsellors have bills to pay too, and sometimes genuinely cannot meet a client halfway. You will have to judge what the treatment is worth to you in relation to the money you have available. Sometimes it may be worth making sacrifices, but on other occasions your money could be better spent elsewhere. Sometimes it is actually beneficial to take a total break from therapy for a few months, especially if you have been seeing someone for a long time.