All perfect praise be to Allaah, The Lord of the Worlds. I testify that there is none worthy of worship except Allaah, and that Muhammad, sallallaahu ‘alayhi wa sallam, is His Slave and Messenger.
Your father made a mistake when he expelled you from the house, since this action may lead a girl to fall into the snares of human wolves and she may be lost. Of course, this entails obvious danger.
Also, he totally absolved himself of the responsibility that Allaah The Almighty laid on his shoulder and neglected those whom Allaah put under his guardianship. So, he should beware of meeting Allaah while he is negligent.
On the other hand, you made a mistake when you sat with that man and exchanged emails with him. So, you have to repent to Allaah of this. Nevertheless, your mistake is by no means a justification for your father to kick you out and desert you. He should fear Allaah The Almighty and bring you back home before he dies while neglecting the rights of those whom Allaah entrusted him with.
As for the marriage, we previously stated that it is not permissible for a guardian to prevent his daughter (or any woman who is under his guardianship) from marrying a suitable and competent man. For further information, see Fatwa 92340.
Thus, if that young man was one of the most ideal suitors for you in terms of religion and moral conduct, try to convince your father to accept him as your husband. You may seek the help of people who may influence him; perhaps your father will accept the suitor, so you would attain goodness in this life and in the Hereafter. If your father persists in refusal, you, in principle, must obey him as was previously clarified in the Fatwa we referred you to. If you fear that you will be tempted by not marrying that man, you are permitted to marry him even against your father's will. Afterwards, try your best to please him.
Moreover, you should know that there are certain conditions that must be met in order to make marriage valid. The most important of which are the consent of the guardian and the presence of the witnesses as we previously clarified in Fatwa 83629.
Finally, let your father and mother see this Fatwa. However, if your father declined to marry you off, you should take your case to one of the Islamic centres to marry you off.